Question

To what temperature must a neon gas sample be if the initial volume of gas at 75$^\circ$C is decreased by 15.0% by coolingthe gas

• A. 319$^\circ$C
• B. 592$^\circ$C
• C. 128$^\circ$C
• D. 60$^\circ$C

Answer 1

Answer: (A)

319$^\circ$C

Answer 2

$T_1$ = 75$^\circ$C = 75 + 273 = 348 K Let $V_1$ = V and $V_2 = \frac{85 \,V}{100}$ $\frac{V_1}{T_1} = \frac{V_2}{T_2}$ $T_2 = \frac{V_2 \, T_1}{V_1} = \frac{85 \, V \times 348}{100 \times V}$ = 295.8 K $P_1 = P$ $P_2 = 2P$ $T_1$= 295.8 K $T_2 = ?$ $\frac{P_1}{T_1} = \frac{P_2}{T_2}$ $T_2 = \frac{P_2 T_1}{P_1} = \frac{2P \times 295.8}{P}$ = 591.6 K = (591.6 - 273)$^\circ$C = 318.6$^\circ$C = 319$^\circ$