Q.

For one mole of an ideal gas, which of these statements must be true ?         (a) U and H each depends only on temperature         (b) Compressibility factor z is not equal one         (c) CP,  m−CV,  m=R         (d)  dU=CVdT for any process

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a

(b), (c) and (d)

b

(a), (c) and (d)

c

(a) and (c)

d

(c) and (d)

answer is B.

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Detailed Solution

(1) Ideal gas participating in any proces  dU=nCv ΔT and ΔH=nCpΔT for 1 mol of gas change in U & H depends only on temperature(2) for an Ideal gas Z=1 (False) (3) CP,M−CV,M=R is true for an ideal gas(4) dU=nCVdTdU=CVdT is true for 1 mol of Ideal gas participating in any process
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