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

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

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

Answer

Explanation:

Step1: Identify the gas - law formula

For a gas at constant volume, we use Gay - Lussac's law: $\frac{P_1}{T_1}=\frac{P_2}{T_2}$.

Step2: Assign the given values

$P_1 = 600$ torr, $T_1=300$ K, $P_2 = 1000$ torr, and $T_2$ is the unknown.

Step3: Rearrange the formula to solve for $T_2$

$T_2=\frac{P_2T_1}{P_1}$.

Step4: Substitute the values into the formula

$T_2=\frac{1000\ torr\times300\ K}{600\ torr}$. $T_2 = 500$ K.

Answer:

500