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.)
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 |