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AIIMS 2009

Exam: AIIMS
Year: 2009
Subject: Chemistry
Chapter: Thermodynamics (C)

AIIMS 2009 · Chemistry · Thermodynamics (C)

In an isobaric process, when temperature changes from T_1 to T_2, Δ...

In an isobaric process, when temperature changes from

T_1

to

T_2, \Delta S

is equal to

Options

A $2.303 C_P \log \left(T_2 / T_1\right)$
B $2.303 C_P \ln \left(T_2 / T_1\right)$
C $C_P \ln \left(T_1 / T_2\right)$
D $C_V \ln \left(T_2 / T_1\right)$

Correct answer

A. $2.303 C_P \log \left(T_2 / T_1\right)$

Step-by-step solution

The entropy change for a process, when

T

and

P

are the variables is given by

\Delta S=C_P \ln \frac{T_2}{T_1}-R \ln \frac{P_2}{P_1}

For an isobaric process

P_1=P_2

. Hence the above equation reduces to

C_P \ln \frac{T_2}{T_1}=\Delta S

or

\Delta S=2.303 C_P \log \frac{T_2}{T_1}

.

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