Question

Initial temperature of an ideal gas is ${75}^{o}C$.At what temperature, the sample of neon gas would be heated to double its pressure, if the initial volume of gas is reduced by $15\%$?

• A. ${319}^{o}C$
• B. ${592}^{o}C$
• C. ${128}^{o}C$
• D. ${60}^{o}C$

Answer 1

The correct option is A ${319}^{o}C$

$T_1={75}^{o}C=75+273=348K$

Let $V_1=V$

and $V_2=\frac{85V}{100}$

$\frac{V_1}{T_1}=\frac{V_2}{T_2}$

$T_2=\frac{V_2{T}_1}{V_1}=\frac{85V\times 348}{100\times V}$

$=295.8K$

$P_1=P$

$P_2=2P$

$T_1=295.8K$

$T_2=?$

$\frac{P_1}{T_1}=\frac{P_2}{T_2}$

$T_2=\frac{P_2{T}_1}{P_1}=\frac{2P\times 295.8}{P}$

$=591.6K$

$=(591.6-273{)}^{o}C={318.6}^{o}C$ or ${319}^{0}C$