Calculate the increase in entropy (approximate) of three moles of… - Vidyadip

MCQ

Calculate the increase in entropy (approximate) of three moles of hydrogen gas as it changes from $300\ K$ at $0.1\ atm$ to $1000\ K$ and $1\ atm$ $(C_P = 7\ cal/degree/mol)$. $[log\, 3 = 0.48 ,\, lnx = 2.3\, log\,x]$ .......$cal/degree$

✓
$11$
B
$5$
C
$6$
D
$20$

✓

Answer

Correct option: A.

$11$

a
$\Delta {\text{S}} = {\text{n}}{{\text{C}}_{\text{p}}}\,l{\text{n}}\frac{{{{\text{T}}_2}}}{{{{\text{T}}_1}}} - {\text{nR}}\ln \frac{{{{\text{P}}_2}}}{{{{\text{P}}_1}}}$

$=3 \times 7 \times 2.3 \log \frac{1000}{300}-3 \times 2 \times 2.3 \log \frac{1.0}{0.1}$

$=11.316$ $cal/degree$

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