A monatomic gas is heated from temperature T1 and T2 under two different conditions at (i) constant volume and (ii) constant pressure. The change in U is:
Correct answer: C. Same for both
- A. More for (i)
- B. More for (ii)
- C. Same for both
- D. Independent of the number of moles
Explanation
Change in internal energy will be ΔU = nCvΔT for both process (at constant volume and constant pressure). It doesn't depend upon the type of process. It is a state function, so the change in temperature is the same in both cases hence △U is same in both.Hence, C is the correct option.
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About Molar Specific Heat of a Gas
Molar specific heat is the heat required to raise the temperature of one mole of a gas by one kelvin, expressed through Q = nCΔT. Questions compare the constant volume value Cv with the constant pressure value Cp, apply the ideal gas relation Cp − Cv = R, and identify how the thermodynamic process affects heat capacity.
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