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: Identify the gas - law formula

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

Step2: Rearrange the formula to solve for $P_2$

$P_2=\frac{P_1T_2}{T_1}$.

Step3: Substitute the given values

$P_1 = 32.6$ torr, $T_1=735$ K, $T_2 = 1035$ K. So $P_2=\frac{32.6\times1035}{735}$.

Step4: Calculate the value of $P_2$

$P_2=\frac{33741}{735}\approx45.9$ torr.

Answer:

$45.9$ torr