Question

a sample of gas at 32.6 torr and 735 k is heated to 1035 k. what is the new pressure of the gas?
p = ? torr

Explanation:

Step1: Apply Gay-Lussac's Law

$\frac{P_1}{T_1} = \frac{P_2}{T_2}$
Given $P_1=32.6$ torr, $T_1=735$ K, $T_2=1035$ K. Rearrange for $P_2$: $P_2 = P_1 \times \frac{T_2}{T_1}$

Step2: Calculate new pressure

$P_2 = 32.6 \times \frac{1035}{735}$
$P_2 = 32.6 \times 1.408163 \approx 45.9$

Answer:

45.9 torr