Question

A bottle is closed by a cork which contains air at a temperature of $7^{\circ }$C and pressure of 1 atm. The cork can withstand a pressure upto 1.3 atm. Then upto what maximum temperature can we heat the bottle so that the cork gets ejected? (Neglect thermal expansion of the bottle)

• A. ${50}^{\circ }$C
• B. ${80}^{\circ }$C
• C. ${91}^{\circ }$C
• D. ${130}^{\circ }$C

Answer 1

The correct option is C ${91}^{\circ }$C

This is an isochoric process
$\frac{P_1}{T_1}=\frac{P_2}{T_2}\Rightarrow \frac{T}{280}=\frac{1.3}{T_2}$
$T_2=1.3\times 280=364k$
or ${91}^{\circ }C$