Question

During an experiment an ideal gas is found to obey an additional law VP² = constant. The gas is initially at temperature T and volume V, when it expands to volume 2V, the resulting temperature is –

• A. T/2
• B. 2T
• C. $\sqrt{2}T$
• D. T/$\sqrt{2}$

Answer 1

Answer: (C)

$\sqrt{2}T$

Answer 2

VP² = const. …...(i)

PV = mRT Ž P a $\frac{T}{V}$

From (i)

$V\left( \frac{T}{V} \right)^{2}$= const $\frac{T^{2}}{V} = const$

or T a$\sqrt{V}$