If n mole of a gas changes its temperature from T_1 to T_2 at pressure P . If C_P is given of the gas what is change in entropy?

Correct answer: B. n C_P ((T_2)/(T_1)) aligned & d Q=n C_P d T & (d Q)/(T)=n C_P (d T)/(T) ; d S=n C_P (d T)/(T) & Δ S=n C_P ∫_ T_1 ^ T_2 (d T)/(T)=n C_P ((T_2)/(T_1)) aligned

AIIMS 201827 May

Exam: AIIMS
Year: 2018
Date: 27 May
Subject: Physics
Chapter: Kinetic Theory of Gases

AIIMS 2018 · 27 May · Physics · Kinetic Theory of Gases

If n mole of a gas changes its temperature from T_1 to T_2 at...

n

mole of a gas changes its temperature from

T_1

T_2

at pressure

P

. If

C_P

is given of the gas what is change in entropy?

Options

A $n C_P\left(\frac{T_1}{T_2}\right)$
B $n C_P \ln \left(\frac{T_2}{T_1}\right)$
C $n C_P \ln \left(\frac{T_1}{T_1}\right)$
D $n C_P\left(\frac{T_2}{T_1}\right)$

Correct answer

B. $n C_P \ln \left(\frac{T_2}{T_1}\right)$

Step-by-step solution

\begin{aligned} & \mathbf{} d Q=n C_P d T \\ & \frac{d Q}{T}=n C_P \frac{d T}{T} ; d S=n C_P \frac{d T}{T} \\ & \Delta S=n C_P \int_{T_1}^{T_2} \frac{d T}{T}=n C_P \ln \left(\frac{T_2}{T_1}\right)\end{aligned}

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