An isloated point charge produce an electric field with magnitude E at a point 2 m away. At a point 1 m from the charge magnitude of the charge is .. A. E B. 2E C. 4E D. E/2
Answers
Answer:
the correct answer is C, E’= 4E
Explanation:
In this exercise you are asked to calculate the electric field at a given point
E = \(k \frac{q}{r^2}\)
indicates that the field is E for r = 2m
E = \(\frac{ k q}{4}\) (1)
the field is requested for a distance r = 1 m
E ’= k \frac{q}{r'^2}
E ’= k q / 1
from equation 1
4E = k q
we substitute
E’= 4E
so the correct answer is C
Related Questions
which best describes a row of elements in the periodic table?
Answers
Answer:
well i know that the horizontal rows are called periods and the vertical ones are called groups
Explanation:
I don't really know what this question is exactly asking
Kelplers 3 laws in your own words
Answers
According to Kepler's first law of planetary motion, planets revolve around the sun such that the sun is always at one of its foci. This law is also known as the law of orbits.
According to Kepler's Second Law of planetary motion, a planet will cover equal amounts of area in an equal period of time if a line is drawn from the sun to the planet. This implies that the planet moves more slowly away from the sun and faster towards it.
According to Kepler's third Law of Planetary Motion, the squares of the orbital periods of the planets are directly proportional to the cubes of their semi-major axes.
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cold tcs food should be stored at an internal temperature of
Answers
Cold TCS food should be stored at an internal temperature of
41° F or below.
What is TCS food?TCS full form is Time/Temperature Control for Safety. Foods that typically spoil more quickly than other foods are referred to as TCS. These foods may either have a high initial microorganism load naturally or possess qualities that are ideal for the growth of pathogens.
The TCS food definition makes it clear that any time and temperature control has a significant impact on the foods that fall under this category. Food handlers may find it extremely beneficial to know how TCS foods behave in order to better formulate, prepare, and serve their food products to consumers. In order to avoid causing foodborne illnesses and food waste, this task is a crucial duty of both food managers and food handlers.
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during the 5.7 min a 5.4 a current is set up in a wire, how many (a) coulombs and (b) electrons pass through any cross section of the wire's width?
Answers
a. The amount of coulombs pass through any cross-section of the wire's width is
b. The amount of electrons during the 5.7 min a current is set up on a wire is
To calculate the coulombs, we use the formula:
Charge (Q) = Current (I) × Time (t).
Time should be in seconds, so we'll convert minutes to seconds:
5.7 minutes * 60 = 342 seconds
Now, calculate the charge:
Q = 5.4 A × 342 s = 1846.8 C
So, 1846.8 coulombs pass through any cross-section of the wire's width.
To calculate the number of electrons, we use the formula:
Number of electrons (N) = Charge (Q) / Elementary charge (e)
where e ≈ 1.6 × 10⁻¹⁹ C.
Now, calculate the number of electrons:
N = 1846.8 C / 1.6 × 10⁻¹⁹ C
≈ 1.154 × 10²² electrons.
So, approximately 1.154 × 10²² electrons pass through any cross-section of the wire's width.
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To understand decay in terms of half-life and to solve radioactive dating problems.Suppose a radioactive sample initially contains N0unstable nuclei. These nuclei will decay into stable nuclei, and as they do, the number of unstable nuclei that remain, N(t), will decrease with time. Although there is no way for us to predict exactly when any one nucleus will decay, we can write down an expression for the total number of unstable nuclei that remain after a time t:N(t)=N0e−λt,where λ is known as the decay constant. Note that at t=0, N(t)=N0, the original number of unstable nuclei. N(t) decreases exponentially with time, and as tapproaches infinity, the number of unstable nuclei that remain approaches zero.Part (E) Suppose that an Egyptian farmer claims to have discovered a linen burial cloth used during Egypt's Middle Kingdom some 4000 years ago. Careful analysis shows that the cloth contains 80% of the 14C that it is estimated to have originally contained. How old is the cloth? (years)
Answers
The age of the cloth material is obtained from the calculation as 1843 years .
What is the half life?We know that the half life of a radioactive isotope refers to the time that is taken for only half of the number of the original radioactive isotopes that are present to remain in the sample.
We can be able to obtain the age of the cloth by looking at the amount of the radioactive carbon -14 that is still left in the sample. How do we do that? We have to turn to a formula that says;
0.693/\(t_{\frac{1}{2} }\) = 2.303/tlog (Ao/A)
\(t_{\frac{1}{2} }\) = half life of the material
t = age of the material
Ao = amount initially present
A = Amount present at time t
Then we have;
0.693/5730 = 2.303/tlog (Ao/0.8Ao)
1.21 * 10^-4 = 0.223/t
t = 0.223/1.21 * 10^-4
t = 1843 years
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Use Newton's first law to explain how a seat belt helps protect you in a crash. Determine strength and speed.
Answers
Seat belts protects us from tumbling around inside the car if there is a collision. The seat belts lock in place when it sense a collision .
So Newton's first law is applied when the car crashes, and there is no unbalanced force acting on the person, so they continue forward.
The individual motion is against the seat belt, exerting a force on it.
Speed is the rate of change of position of an object in any direction.
Strength is described as the quality or state of being strong having the capacity for exertion or endurance.
State Newton's first law?Newton's first law sates that an object at rest remains at rest, or if in motion, remains in motion at a constant velocity unless acted on by a net external force.
So, we have it that Newtons first law of motion explains what happens in a car crash in the sense that it basically states that the passenger will continue to travel at the same velocity until an unbalanced force acts on the individual.
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What kind of energy does an electromagnet use to pick up metallic objects?
Answers
Answer:
Magnetic energy is used by an electromagnet to pick up metallic objects
Explanation:
An electromagnet generates its own magnetic field in presence of electric current.
As an electric current is induced in an electromagnet , it magnetic dipole arrange themselves in order to behave as a magnet and hence generate magnetic field with a proper north and south. This leads to attraction of metallic object.
Hence, it can be said that Magnetic energy is used by an electromagnet to pick up metallic objects
Please answer!!! This is due today so please help me, thank you! :)
Answers
5. In which image below is the most work being wasted as heat?
A. Image A
B. Image B
C. Image C
D. Image d
Answers
Answer:
C
Explanation:
The rock takes 8.16s to return to its release point. Given that the elastic band provides a speed of 40m/s to the rock in 10 cm stretch.
What will be the speed of the rock?Initial speed of the rock, u = 40m/s
Final position of the rock s = 0m taking the release point as reference. The rock takes 8.16s to return to its release point. Given that the elastic band provides a speed of 40m/s to the rock in 10 cm stretch.
Nuclear energy is a useful source of power but has disadvantages. The disadvantage of nuclear energy is it produces dangerous waste.
Initial speed of the rock, u = 40m/s
Final position of the rock s = 0m taking the release point as reference
From the second equation of motion:
solving above we get:
t = 0s or t = 8.16s, t =0 seconds is neglected since it represents the initial position which is the same as the final position at t = 8.16s
So, the rock takes 8.16 seconds to return to the release point.
Therefore, The rock takes 8.16s to return to its release point. Given that the elastic band provides a speed of 40m/s to the rock in 10 cm stretch.
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find acceleration please
Answers
The acceleration of the particle in x-direction is 0.23 m/s².
The acceleration of the particle in y-direction is 4.92 m/s².
What is the resultant velocity in x-direction?The resultant velocity of the particle in x-direction is calculated as follows;
vₓ = √(13.7² + 17.9²)
vₓ = 22.54 m/s
The resultant velocity of the particle in y direction is calculated as follows;
\(V_y\) = √(0² + 4.8²)
\(V_y\) = 4.8 m/s
The acceleration of the particle in x-direction is calculated as follows;
Δx = vₓ + ¹/₂aₓt²
where;
aₓ is accelerationt is time of motionΔx = vₓ + ¹/₂aₓt²
23.7 = 22.54 + ¹/₂(3.2)²aₓ
23.7 = 22.54 + 5.12aₓ
1.16 = 5.12aₓ
aₓ = 1.16 / 5.12
aₓ = 0.23 m/s²
The acceleration of the particle in y-direction is calculated as follows;
\(\Delta y = v_y \ + \frac{1}{2} a_yt^2\\\\30 = 4.8 \ + \ \frac{1}{2} (3.2)^2a_y\)
\(30 = 4.8 + 5.12a_y\\\\5.12a_y = 25.2\\\\a_y =\frac{25.2}{5.12} \\\\a_y = 4.92 \ m/s^2\)
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For the displacement field u(x,t)=u
i
e
i
with components given below, calculate the full three dimensional strain at the point p=e
1
+2e
2
+10e
3
u
1
=0.1x
1
x
2
u
2
=0.1x
2
+5
u
3
=500
Answers
The full three-dimensional strain tensor at the point
\(p = e_1 + 2e_2 + 10e_3\: is\: :\\epsilon =\left[\begin{array}{ccc}0.05x_2&0.05x_1&0\\0.05&0&0\\0&0&0\end{array}\right]\)
To calculate the full three-dimensional strain at the point \(p = e_1 + 2e_2 + 10e_3\), we need to find the components of the strain tensor \(\epsilon_m_n\).
The strain tensor εₘₙ can be calculated using the formula:
εₘₙ = (0.5) * (∂uₘ/∂xₙ + ∂uₙ/∂xₘ)
Given the displacement field u(x, t) with components:
u₁ = 0.1x₁x₂
u₂ = 0.1x₂ + 5
u₃ = 500
We can calculate the components of the strain tensor as follows:
\(\epsilon_1_1 = (1/2) * (\delta u_1/\delta x_1 + \delta u_1/\delta x_1)\\= (1/2) * (0.1x_2 + 0)\\= 0.05x_2\)
\(\epsilon_1_2 = (1/2) * (\delta u_1/\delta x_2 + \delta u_2/\delta x_1)\\= 0.05x_1\)
\(\epsilon _1_3 = (1/2) * (\delta u_1/∂x_3 + \delta u_3/\delta x_1)\\= (1/2) * (0 + 0)\\= 0\)
\(\epsilon_2_1 = (1/2) * (\delta u_2/\delta x_1 + \delta u_1/\delta x_2)\\= (1/2) * (0 + 0.1)\\= 0.05\)
ε₂₃ = (1/2) * (∂u₂/∂x₃ + ∂u₃/∂x₂)
= (1/2) * (0 + 0)
= 0
ε₃₁ = (1/2) * (∂u₃/∂x₁ + ∂u₁/∂x₃)
= (1/2) * (0 + 0)
= 0
ε₃₂ = (1/2) * (∂u₃/∂x₂ + ∂u₂/∂x₃)
= (1/2) * (0 + 0)
= 0
ε₃₃ = (1/2) * (∂u₃/∂x₃ + ∂u₃/∂x₃)
= (1/2) * (0 + 0)
= 0
Therefore, the full three-dimensional strain tensor at the point
\(p = e_1 + 2e_2 + 10e_3\: is\: :\\epsilon =\left[\begin{array}{ccc}0.05x_2&0.05x_1&0\\0.05&0&0\\0&0&0\end{array}\right]\)
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A student plans an investigation to determine whether an object has a positive charge, a negative charge, or is electrically neutral. Which statements describe procedures and the expected results that the student should follow?
A)
Bring a pith ball that has a negative charge near the object. If the ball is repelled, the object is electrically neutral.
B)
Bring a pith ball that has a positive charge near the object. If the ball is repelled, the object has a positive charge.
C)
Bring a pith ball that has a negative charge near the object. If the ball is attracted, the object has a positive charge.
D)
Bring a pith ball that has a positive charge near the object. If the ball is attracted, the object is electrically neutral.
E)
Bring a pith ball that has a negative charge near the object. If the ball is repelled, the object is electrically neutral.
F)
Bring a pith ball that has a positive charge near the object. If the ball is attracted, the object has a negative charge.
Answers
Answer:
Hope it helps
Explanation:
The number of electrons that surround the nucleus will determine whether or not an atom is electrically charged or electrically neutral. The amount of charge on a single proton is equal to the amount of charge possessed by a single electron. A proton and an electron have an equal amount but an opposite type of charge. Thus, if an atom contains equal numbers of protons and electrons, the atom is described as being electrically neutral. On the other hand, if an atom has an unequal number of protons and electrons, then the atom is electrically charged (and in fact, is then referred to as an ion rather than an atom). Any particle, whether an atom, molecule or ion, that contains less electrons than protons is said to be positively charged. Conversely, any particle that contains more electrons than protons is said to be negatively charged
To determine whether an object has a positive charge, a negative charge, or is electrically neutral .
The given object has a positive charge.
How to check the electrical charge on object ?Positive charge attract negative and neutral body while repel positive charged body.Negative charge attract positive and neutral body while repel negative charged body.Neutral charge always get attracted by both positive as well as negative charged body.So repulsion is the best way to determine the charge on the body.
Going through the option:A) repelled by negative charge it means body is negative charge.B) repelled by positive charge it means body is positive charge.C) attracted by negative charge it means body is positive or electrically neutral.D) attracted by positive charge it means body is negative or electrically neutral.E) repelled by negative charge it means body is negative charge.F) attracted by positive charge it means body is negative or electrically neutral.Therefore option B is the object is positive charge is confirmed.
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g how does the pressure at each of the five points change if the tank and its previous contents were buried an extra 1 meter below the current level such that the pipe to the surface is now 3 meters long?
Answers
The pressure at each of the five points would increase by ρg × 1 Pa.
The pressure at each of the five points would increase if the tank and its previous contents were buried an extra 1 meter below the current level. The pressure at a point in a fluid is proportional to the height of the fluid column above that point. Since the pipe to the surface is now 3 meters long, the height of the fluid column above each of the five points has increased by 1 meter. Hence, the pressure at each of the five points would increase by an amount proportional to the height of the fluid column, or P2 = P1 + ρgh, where P1 is the original pressure, P2 is the new pressure, ρ is the density of the fluid, g is the acceleration due to gravity, and h is the increase in height. As a result, the pressure at each of the five points would increase by ρg × 1 Pa.
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A ball is thrown upwards into the air with an initial velocity of 11.83 m/s. What is the maximum height that the ball traveled during that time (assuming there is no air resistance).
Answers
7.11 meters
Explanation
to solve this we need to use this formula:
\(y_{\max }=\frac{(v_f-v_{1)^2}}{2g}\)Step 1
Let
\(\begin{gathered} v_f=0\text{ ( when it reaches the ma}\Xi mun\text{ heigth)} \\ v_0=\text{ initial sp}eed=11.83\text{ m/s} \\ g=9.8\text{ }\frac{\text{m}}{s^2} \end{gathered}\)now,replace and calculate
\(\begin{gathered} y_{\max }=\frac{(v_f-v_{1)^2}}{2g} \\ y_{\max }=\frac{(-11.83\frac{m}{s})^2}{2\cdot9.8\frac{m}{s^2}} \\ y_{\max }=\frac{139.4989}{19.6}m \\ y_{\max }=7.11\text{ m} \end{gathered}\)therefore, the answer is
7.11 meters
I hope this helps you
The rate of change of momentum?
Answers
Answer:
Answer in below and plz mark me as brainlist plz
Explanation:
The rate of change of momentum =tm(v−u) Rate of change of momentum = force applied. Force∝tm(v−u) Velocity is the rate of change of displacement and acceleration is the rate of change of velocity. Impulse is a change in momentum
The rate of change of momentum =tm(v−u) Rate of change of momentum = force applied. Force∝tm(v−u) Velocity is the rate of change of displacement and acceleration is the rate of change of velocity. Impulse is a change in momentum
A string attached to an airborne balloon was maintained at an angle of 54 degrees with the ground. If 2.3 m of string was reeled in to return the balloon back to the ground, what was the horizontal and vertical displacements
Answers
Answer:
dₓ = 1.35 m
dy = 1.86 m
Explanation:
In order to find the vertical and horizontal components of the displacement, we can assume a right triangle. Such that, the length of string is the hypotenuse, making and angle of 54° with the base of triangle. The base is the horizontal component of displacement. And the perpendicular is the vertical component of displacement. Therefore:
\(d_{x} = d\ Cos\ \theta\)
where,
dₓ = horizontal component of displacement = ?
d = resultant displacement = 2.3 m
θ = angle between displacement and ground = 54°
Therefore,
\(d_{x} = (2.3\ m)\ Cos\ 54^0\)
dₓ = 1.35 m
For vertical component of displacement:
\(d_{y} = d\ Sin\ \theta\\d_{y} = (2.3\ m)\ Sin\ 54^0\)
dy = 1.86 m
The cooling system of an automobile motor contains 20. 0 kg of water. What is the t of the water if the engine operates until 836,000 J of heat have been added to the water?
Answers
the temperature of the water in the cooling system will increase by 9.99°C if the engine operates until 836,000 J of heat have been added to the water.
To solve this problem, we need to use the specific heat capacity equation:
Q = mcΔT
where Q is the amount of heat transferred, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature.
We know that the engine has added 836,000 J of heat to the water, and that the mass of the water is 20.0 kg. The specific heat capacity of water is 4.18 J/g°C.
First, we need to convert the mass of water from kg to g:
20.0 kg = 20,000 g
Now we can plug in the values:
836,000 J = (20,000 g)(4.18 J/g°C)(ΔT)
Solving for ΔT:
ΔT = 836,000 J / (20,000 g x 4.18 J/g°C)
ΔT = 9.99°C
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Quickly pls!!! A wave with a wavelength of 0.5 m moves with a speed of 1.5 m/s. What is the frequency of the wave?
A. 2.0 Hz
B. 1.0 Hz
C. 0.33 Hz
D. 3.0 Hz
Answers
The frequency of the wave will be 3 or D.
How much will an object weigh on the moon if it weighs 60 lbs on the earth?
Answers
Answer:
10lbs on the moon
Explanation:
Which of the following is true regarding mixtures? a. One substance not combined with any other substances. b. Two or more substances physically mixed and can be separated. c. Two or more substances that are impossible to separate d. One substance that forms a compound alone.
Answers
Answer:
aerga
dggzsd
Explanation:
szsdrgzsedg
Imagine you inherit a farm and now have to purchase fertilizer for the farm. The farm is 340 acres and had corn planted the previous year. You must add fertilizer to the soil before you plant this year's crop. You go to the local fertilizer store and find SuperPhosphate-brand fertilizer. You read the fertilizer bag and can recognize from your high school chemistry class a molecular formula C*a_{3}*P_{2}*H_{14}*S_{2}*O_{21} (you don't understand anything else written on the bag because it is imported fertilizer from Japan). You must decide how much fertilizer to buy for application to your cornfields. If each bag contains 25 kg of fertilizer and costs $54.73, how many bags of fertilizer must you purchase, and how much will it cost you to add the necessary fertilizer to your fields ?
Answers
Total Cost is = $107,380 if The farm is 340 acres and had corn planted add fertilizer to the soil before you plant this years' crop.
What is called fertilizer?A fertiliser is a natural or artificial substance containing chemical elements (such as Nitrogen (N), Phosphorus (P) and Potassium (K)) that improve growth and productiveness of plants. Some synonyms include the terms "enrichment" or "plant nutrient".
Why is fertilizer important?Without fertilizers, nature struggles to replenish the nutrients in the soil. When crops are harvested, important nutrients are removed from the soil, because they follow the crop and end up at the dinner table. If the soil is not replenished with nutrients through fertilizing, crop yields will deteriorate over time.
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why is the battery run flat with reference to the energy transformations that take place
Answers
Answer:
Rechargeable batteries can still go flat after repeated use because the materials involved in the reaction lose their ability to charge and regenerate
Explanation:
they go flat because they a rechargeable and sometimes don't always work
thank you hope u have a good day
A light wave has a frequency of 12 Hz. Calculate it’s wavelength.
Answers
Answer:
\(\lambda=25\times 10^6\ m\)
Explanation:
Given that,
The frequency of the light wave, f = 12 Hz
We need to its wavelength. The wavelength of the wave can be calculated as follows :
\(\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{12}\\\\\lambda=25\times 10^6\ m\)
So, the wavelength of the light wave is equal to \(25\times 10^6\ m\).
A beam of light passes through water (n1=1.33) into a mystery substance at an angle of 43 (01) if the beam of the light refracts to an angle of 22 (02) in the mystery substance what is the refractive index (n2) of the mystery substance
Answers
The refractive index of the mystery substance is n2 = 2.17.
What is refractive index?Refractive index is a physical quantity that describes how light interacts with a particular material. It is defined as the ratio of the speed of light in a vacuum to the speed of light in the material. Refractive index is an important factor in optics, as it determines how much light is bent or refracted when it enters a material, and the angle at which it is refracted. Refractive index is also used to measure the thickness of a material or to calculate the index of refraction of a material. It is also used to determine the refractive properties of gemstones, for example in gemology.
The refractive index of the mystery substance (n2) can be calculated using Snell's law, which states that n1*sin(01) = n2*sin(02).
Therefore, n2 = n1*sin(01)/sin(02) = 1.33*sin(43°)/sin(22°) = 2.17
This means that the refractive index of the mystery substance is n2 = 2.17.
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Pick the false statement.Natural boundary conditions:A) Set gradient of the temperature at the boundary.B) Affect algebraic equations for boundary nodes only.C) Affect both the stiffness matrix [K] and the force vector {f}.correct
Answers
The false statement is Affect algebraic equations for boundary nodes only. Therefore the correct option is option B.
The values of the fluxes or gradients of the solution variable at the boundary are often included in natural boundary conditions, which are conditions that are stated on the boundaries of a domain.
Due to the fact that these conditions affect the behaviour of the solution across the entire domain and not only at the boundary nodes, they can have an impact on both the stiffness matrix [K] and the force vector [f].
Natural boundary conditions are frequently imposed in finite element analysis through the use of numerical integration techniques, which translate the boundary conditions into equivalent equations that are incorporated into the larger system of equations being solved.
Therefore, the system of equations as a whole, and not simply the equations linked to the boundary nodes, can be affected by natural boundary conditions. Therefore the correct option is option B.
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Choose the word that BEST completes the following sentence:
_________________________ cannot be created or destroyed.
All
Mass
Matter
Galaxies
Stars
Answers
Hi there!
Answer:
Matter
Explanation:
To find the correct answer, you have to try all of the answers. Like below:
All cannot be created or destroyed.
This doesn't make sense.
Mass cannot be created or destroyed.
This may sound correct, but when you look at the big picture, this is wrong.
Matter cannot be created or destroyed.
This is correct because it is a saying created long ago and proven with experiments.
Galaxies cannot be created or destroyed.
This is wrong because new galaxies are being created everyday!
Stars cannot be created or destroyed.
This is wrong because like galaxies, new stars are being created everyday!
What power is defined as work over time and is measured in Watts (J/s).
Answers
Power is defined as the rate at which work is done or the amount of work performed over a specific period of time. In physics, it is the rate of transferring or converting energy, which is often measured in Watts (W).
One Watt is equal to one Joule per second (J/s), indicating that power quantifies how quickly energy is transferred or transformed.
Work, on the other hand, refers to the amount of energy required to move an object against a force. When an object moves, work is performed, and energy is transferred from one form to another.
In summary, power is a crucial concept in understanding the relationship between work and time, and it is essential in various applications, such as electrical systems and mechanical devices. By measuring power in Watts (J/s), we can evaluate the efficiency and performance of these systems and devices in a practical and standardized way.
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an aluminum wire having a cross-sectional area equal to 5.10 10-6 m2 carries a current of 7.50 a. the density of aluminum is 2.70 g/cm3. assume each aluminum atom supplies one conduction electron per atom. find the drift speed of the electrons in the wire.
Answers
1.29×10^-4 m/s is the drift speed of the electrons in the wire.
volume=molar mass/density= 26.98g/2.7g/cm3 = 9.99 cm3
n=(6.02E23 electron/volume)*(1.00E6 cm3/ 1 m3) = 6.024E28 m3
V= I/neA= 7.50 A/(6.024E28 m3)×(1.60E-19 C)×(5.60E-6 m2))
V= 1.29×10^-4 m/s
Electrons and other subatomic particles constantly migrate in arbitrary ways. When exposed to an electric field, electrons do travel randomly, but they do so slowly in the direction of the applied electric field. The drift velocity refers to the overall speed of these electrons.
M/s is the SI unit for drift velocity. It can also be expressed in m2/ (V.s). The relationship between the electrons' current density and their drift velocity is straightforward. Additionally, when the strength of the electric field grows, the drift velocity and current flowing through the conductor do as well.
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5000 j of heat are added to two moles of an ideal monatomic gas, initially at a temperature of 500 k, while the gas performs 7500 j of work. what is the final temperature of the gas?
Answers
The final temperature of the gas is 399.76 K when 5000 j of heat is added to two moles of an ideal monatomic gas, initially at a temperature of 500 k and the gas performs 7500 j of work.
The First Law of Thermodynamics states that the change in internal energy (ΔU) of a system is equal to the heat added (Q) minus the work done (W) by the system:
ΔU = Q - W
For an ideal monatomic gas, the change in internal energy (ΔU) can be calculated using the equation:
ΔU = (3/2) ×n× R ×ΔT, where n is the number of moles, R is the ideal gas constant (8.314 J/(mol K)), and ΔT is the change in temperature.
Given: Q = 5000 J (heat added)
W = 7500 J (work done)
n = 2 (number of moles)
Initial temperature (T1) = 500 K
Using the formula,
ΔU = Q - W,
(3/2) ×n× R ×ΔT = Q - W
(3/2) × 2 × 8.314 × ΔT = 5000 - 7500
ΔT = -100.23 K
so the final temperature T2 = 500 - 100.23
T2 = 399.76 K
Therefore, the final temperature of the gas is 399.76 K.
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Explain how a chain reaction is sustained.
Answers
Answer:
The chain reaction requires both the release of neutrons from fissile isotopes undergoing nuclear fission and the subsequent absorption of some of these neutrons in fissile isotopes. Thus, the cycle repeats to give a reaction that is self-sustaining.