Question

# The entropy change when two moles of ideal monoatomic gas is heated from 200oC to 300oC reversibly and isochorically is:

A
32R ln (300200)
B
52R ln (573273)
C
3R ln (573473)
D
32R ln (573473)

Solution

## The correct option is C 3R ln (573473)We know that for a reversible process and an ideal system △S=nCv ln T2T1+nR ln V2V1 For an isochoric process, volume is constant i.e. V1=V2 so, △S=nCv ln T2T1 Given, number of moles, n=2 since gas is monoatomic Cv=3R2 T1=473K, T2=573K putting above values we get, △S=2×32R ln (573473) △S=3R ln (573473)

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