Question

At 300 K, the volume of a gas is 150 mL. The temperature is raised to 500 K at constant pressure, what is the new volume of the gas?

A. 100 mL
B. 150 mL
C. 200 mL
D. 250 mL

Answer 1

The new volume of the gas at 500 K is 250 mL when the temperature is increased from 300 K at constant pressure, according to Charles's law.

Step-by-step explanation:

The subject of this question is Physics, as it deals with Charles's law, which describes the relationship between the volume and temperature of a gas at constant pressure. Charles's law states that the volume of a gas is directly proportional to its temperature when pressure is held constant.

To find the new volume of the gas when the temperature is raised to 500 K from 300 K at constant pressure, we can set up a proportion:
V1 / T1 = V2 / T2,
where V1 is the initial volume (150 mL), T1 is the initial temperature (300 K), V2 is the final volume, and T2 is the final temperature (500 K).

Solving for V2, we get:
V2 = V1 * (T2 / T1) = 150 mL * (500 K / 300 K) = 150 mL * (5/3) = 250 mL.

Therefore, the new volume of the gas at 500 K is 250 mL, which corresponds to option D.