Question

a gas at 600 torr and 300 k is heated to a final pressure of 1000 torr. what is the final temperature of the gas? t = ? k

Explanation:

Step1: Use Gay-Lussac's Law

$\frac{P_1}{T_1} = \frac{P_2}{T_2}$
Given $P_1=600$ torr, $T_1=300$ K, $P_2=1000$ torr. Rearrange for $T_2$: $T_2 = T_1 \times \frac{P_2}{P_1}$

Step2: Calculate final temperature

$T_2 = 300 \times \frac{1000}{600} = 500$ K

Answer:

500