Question

A sample of methane gas at a pressure of 823 mm Hg and a temperature of 49 °C, occupies a volume of 10.7 liters. If the gas is heated at constant pressure to a temperature of 71 °C, the volume of the gas sample will be _____ L.

Fill in the blank.

Answer 1

The final volume of the gas sample will be 11.4 L.

Step-by-step explanation:

According to Charles' law, the volume of a gas is directly proportional to its temperature as long as pressure and amount of gas remain constant.

Using the formula V1/T1 = V2/T2, where V1 is the initial volume, T1 is the initial temperature, V2 is the final volume, and T2 is the final temperature, we can solve for V2.

Plugging in the values from the question, we have V1 = 10.7 L, T1 = 49 °C + 273 = 322 K, and T2 = 71 °C + 273 = 344 K. Solving for V2, we get V2 = V1*T2/T1 = 10.7 L * 344 K / 322 K = 11.4 L.