Question

An ideal gas expands in such a manner so that its pressure and volume can be related by equation $P{V}^2=constant$. During this process, the gas is :

• A. heated
• B. cooled
• C. neither heated nor cooled
• D. first heated and then cooled

Answer 1

Answer: (B)

cooled

$P{V}^2$=constant
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