Question

An ideal gas expands in such a way that $P{V}^2=constant$ throughout the process.

• A. The graph of the process of T-V diagram is a parabola
• B. The graph of the process of T-V diagram is a straight line
• C. Such an expansion is possible only with heating
• D. Such an expansion is possible only with cooling

Answer 1

The correct option is D Such an expansion is possible only with cooling

From ideal gas equation, PV=nRT
$\Rightarrow$ VT=constant
$\Rightarrow$ V is inversely proportional to T
$\Rightarrow$ expansion causes increase in V
$\Rightarrow$ it leads to decrease in T
$\Rightarrow$ gas is cooled
So correct option is d