Question

Initial temperature of an ideal gas is $\text{7}{\text{5}}^{\text{o}}\text{C}$ . 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. $\text{31}{\text{9}}^{\text{o}}\text{C}$
• B. $\text{59}{\text{2}}^{\text{o}}\text{C}$
• C. $\text{12}{\text{8}}^{\text{o}}\text{C}$
• D. $\text{6}{\text{0}}^{\text{o}}\text{C}$

Answer 1

Answer: (A)

$\text{31}{\text{9}}^{\text{o}}\text{C}$

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

Let $V_1=V$

and $V_2=85V/100$

$V_1/T_1=V_2/T_2$

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

$=295.8K$

$P_1=P$

$P_2=2P$

$T_1=295.8K$

$T_2=?$

$P_1/T_1=P_2/T_2$

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

$=591.6K$ $=591.6-273{.}^{o}C={318.6}^{o}C$ ${319}^o$