Given below are two statements : In the light of the above statements, choose the correct answer from the options given below
- Both Statement I and Statement II are true
- Both Statement I and Statement II are false
- Statement I is true but Statement II is false
- Statement I is false but Statement II is true
Answer
(4) Statement I is false but Statement II is true
Solution
Statement I: for one mole of an ideal gas Cp - CV = R, so Cp > CV, because at constant pressure extra heat is needed to do the expansion work. Hence Statement I is false.
Statement II: at constant volume w = -pex V = 0, so U = qV, i.e. all the heat exchanged goes into the random (chaotic) motion of the molecules and shows up as a change in temperature. Hence Statement II is true.
Answer: (4)