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The change in internal energy when gas is cooled from 927 to 27 is a) 270 b) 230 c) 50 d) 300?
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Most Upvoted Answer
The change in internal energy when gas is cooled from 927 to 27 is a) ...
Answer is {(1200-300/300)×100)}
=3×100
=300%
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The change in internal energy when gas is cooled from 927 to 27 is a) ...
Calculating the Change in Internal Energy
When a gas is cooled from 927 to 27, the change in internal energy can be calculated using the formula:
ΔU = nCvΔT
where:
ΔU = change in internal energy
n = number of moles of the gas
Cv = molar specific heat capacity at constant volume
ΔT = change in temperature

Given data:
Initial temperature (Ti) = 927 K
Final temperature (Tf) = 27 K
We need to find the change in internal energy, so we will consider the difference in temperature:
ΔT = Tf - Ti
ΔT = 27 - 927
ΔT = -900 K

Calculating the Change in Internal Energy:
Given that the gas is cooled, the change in temperature is negative. Therefore, the change in internal energy can be calculated as:
ΔU = nCvΔT
Since the molar specific heat capacity for gases is approximately 5/2 R (where R is the gas constant), we can rewrite the formula as:
ΔU = 5/2 nRΔT
Substitute the values into the formula:
ΔU = 5/2 * n * R * (-900)
Now, we need to know the number of moles of the gas (n) to calculate the change in internal energy. Once we have the value of n, we can substitute it into the formula above to find the correct answer.
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The change in internal energy when gas is cooled from 927 to 27 is a) 270 b) 230 c) 50 d) 300?
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