Thermodynamics and Thermochemistry - Result Question 53

Passage

A fixed mass $m$ of a gas is subjected to transformation of states from $K$ to $L$ to $M$ to $N$ and back to $K$ as shown in the figure.

(2013 Adv.)

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53. The succeeding operations that enable this transformation of states are

(a) heating, cooling, heating, cooling

(b) cooling, heating, cooling, heating

(c) heating, cooling, cooling, heating

(d) cooling, heating, heating, cooling

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Answer:

Correct Answer: 53. (c)

Solution:

PLAN: By Boyle’s law at constant temperature, $p \propto \frac{1}{V}$

By Charles’ law at constant pressure, $V \propto T$

Process taking place at

Constant temperature - isothermal

Constant pressure - isobaric

Constant volume - isochoric

Constant heat - adiabatic

$K \longrightarrow L$ At constant $p$, volume
increases
thus, heating
$L \longrightarrow M$ At constant $V$, pressure
decreases
thus, cooling
$M \longrightarrow N$ At constant $p$, volume
decreases
thus, cooling
$N \longrightarrow K$ At constant $V$, pressure
increases
thus, heating