Question

a gas is contained in a thick - walled balloon under the conditions 777 torr, 495 k, and 1.53 l. the volume increases to 2.58 l and the temperature decreases to 368 k. what is the final pressure of the gas in the balloon? pressure (torr)

Explanation:

Step1: Recall combined gas law

$$\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}$$

Step2: Rearrange for final pressure $P_2$

$$P_2 = P_1 \times \frac{V_1}{V_2} \times \frac{T_2}{T_1}$$

Step3: Plug in values ($P_1=777$ torr, $V_1=1.53$ L, $T_1=495$ K, $V_2=2.58$ L, $T_2=368$ K)

$$P_2 = 777 \times \frac{1.53}{2.58} \times \frac{368}{495}$$

Step4: Calculate step by step

First: $\frac{1.53}{2.58} \approx 0.5930$; Second: $\frac{368}{495} \approx 0.7434$; Third: $777 \times 0.5930 \times 0.7434 \approx 342$

Answer:

342 torr