Question

To what temperature must a neon gas sample be heated to double the pressure, if the initial volume of a gas at ${75}^{\circ }C$ is decreased by $15$%?

• A. ${319}^{\circ }C$
• B. ${592}^{\circ }C$
• C. ${128}^{\circ }C$
• D. ${60}^{\circ }C$
• E. ${90}^{\circ }C$

Answer 1

The correct option is A ${319}^{\circ }C$

$V_2=V_1-15V_1/100=0.85V_1$, $T_2=$ ?

Now substitute the values in the derived equation

$\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$

$\frac{PV}{348}=\frac{2P\times 85V}{T_2\times 100}$

$T_2=591.6K$

$T_2={318.6}^{\circ }C$.

Hence, te correct option is $\text{A}$