Question

At a constant pressure, 20 L of a gas at 400 K is expanded to 30 L. The final temperature of the gas is

(A) 1.5 K (B) 150 K (C) 267 K (D) 600 K

Answer 1

Using Charles's Law, which states that the volume of a gas at constant pressure is directly proportional to its temperature, the final temperature of the gas that expanded from 20 L at 400 K to 30 L is 600 K.

Step-by-step explanation:

The student's question involves applying Charles's Law, which states that, for a given mass of an ideal gas at constant pressure, the volume is directly proportional to its temperature (in Kelvin). Therefore, if the volume of the gas expands, the temperature should also increase proportionally, assuming no heat is lost to the environment.

To find the final temperature of a gas that expanded from 20 L at 400 K to 30 L, we use 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. Substituting the known values: (20 L / 400 K) = (30 L / T2), we solve for T2 which gives us T2 = (30 L * 400 K) / 20 L = 600 K.