Calculate the change in entropy (.ΔS.) , when one mole of an ideal gas is compressed to half of its initial volume and simultaneously heated to twice of its initial temperature.

Question

Calculate the change in entropy (.ΔS.) , when one mole of an ideal gas is compressed to half of its initial volume and simultaneously heated to twice of its initial temperature. (A) Cvln2 (B) Cpln2 (C) Rln2 (D) (.CV-R.)ln2

Tardigrade Admin · Accepted Answer

ÎS=Cvln((T2/T1))+Rln(V2/V1) =Cl ln 2+R× ln1/2 =(Cr - R)ln2

Q. Calculate the change in entropy $(Δ S)$ , when one mole of an ideal gas is compressed to half of its initial volume and simultaneously heated to twice of its initial temperature.

$C v l n 2$

$Cpl n 2$

$Rl n 2$

$(C V - R) l n 2$

$Δ S = C_{v} l n (\frac{T _{2}}{T _{1}}) + Rl n \frac{V _{2}}{V _{1}}$
$= C_{ll n 2} + R \times l n 1/2$
$= (C_{r} - R) l n 2$

Q. Calculate the change in entropy (ΔS) , when one mole of an ideal gas is compressed to half of its initial volume and simultaneously heated to twice of its initial temperature.

Cvln2

Cpln2

Rln2

(CV−R)ln2