Question

A sample of gas has a volume of 1.0 L at a temperature of 200K. If the temperature is increased to 400K (at constant pressure) what will the volume be?

a. 2.0 L
b. 4.0 L
c. 1.0 L
d. 0.5 L

Answer 1

According to Charles's Law, when the temperature of a gas is increased at constant pressure, the volume of the gas also increases. Using the formula V1 / T1 = V2 / T2, we can find the new volume to be 2.0 L.

Step-by-step explanation:

To find the new volume, we can use Charles's Law. Charles's Law states that when the temperature of a gas is increased at constant pressure, the volume of the gas also increases. According to Charles's Law, the initial volume of the gas is 1.0 L and the initial temperature is 200K. The final temperature is 400K.

Using the formula for Charles's Law: 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:

V2 = (V1 * T2) / T1 = (1.0 L * 400K) / 200K = 2.0 L.

Therefore, the volume of the gas when the temperature is increased to 400K will be 2.0 L.