Question

If the pressure and the volume of certain quantity of ideal gas are halved, then its temperature

• A. Is doubled
• B. Becomes one-fourth
• C. Remains constant
• D. Is halved
• E. Become four times

Answer 1

The correct option is B Becomes one-fourth

Ideal gas equal
$pV=\mu RT$
If pressure and the volume of certain quantity of ideal gas are halved
$\frac{p}{2}\times \frac{V}{2}=\mu R_0{T}_1$
$\frac{pV}{4}=\mu R{T}_1$ ($\because R$ is constant)
$\frac{\mu RT}{4}=\mu R{T}_1$
$T_1=\frac{T}{4}$
In this condition, temperature becomes one-fourth.