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.)

alt text

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

Show Answer

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


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