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)

Between P and 1.1 P

Answer 2

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 $V_{2} = 1.05V$

$\therefore P_{2}\frac{P_{1}V_{1}T_{2}}{V_{2}T_{1}}$

$P_{2} = \frac{P \times V \times 1.1T}{1.05V \times T} = 1.05P$