A system of 100 kg mass undergoes a process in which its specific… - Vidyadip

MCQ

A system of $100\ kg$ mass undergoes a process in which its specific entropy increases from $0.3\ kJ\,kg^{-1}\,K^{-1}$ to $0.4\ kJ\,kg^{-1}\,K^{-1}$ . At the same time, the entropy of the surrounding decreases from $80\ kJ\,K^{-1}$ to $75\ kJ\,K^{-1}$ .

Find the ( $\Delta S)_{universe}$ in $kJK^{-1}$ .

A
$0$
✓
$5$
C
$10$
D
$15$

✓

Answer

Correct option: B.

$5$

b
$\Delta \mathrm{S}_{\text {universe }}: \Delta \mathrm{S}_{\text {system }}+\Delta \mathrm{S}_{\text {surrounding }}$

$=100(0.4-0.3)+(75-80)$

$=5\, \mathrm{kJ} / \mathrm{K}$

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