Question

An inflated rubber balloon contains one mole of an ideal gas, has a pressure $P$, volume $V$ and temperature $T$. If the temperature rises to $1.1\, T$, and the volume is increased to $1.05\, V$, the final pressure will be

• A. $1.1\, P$
• B. $P$
• C. less than $P$
• D. between $P$ and $1.1\, P$

Answer 1

Answer: (D)

Using $PV = nRT$ or $\frac{P_{1}\,V_{1}}{T_{1} } = \frac{P_{2}\,V_{2}}{T_{2} }$
Here, $P_{1} = P$, $V_{1} = V$, $T_{1} = T$, $T_{2} = 1.1\, T$ and $V_{2} = 1.05 \,V$
$\therefore \quad P_{2} = \frac{P_{1}\,V_{1}\,T_{2}}{V_{2}T_{1}} = \frac{P\times V \times 1.1\,T}{1.05\,V \times T} = 1.05\,P$