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If a 10.0 L confined gas at 300 K is compressed to 5.0 L, then determine the final temperature of the gas as pressure is held constant.

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Final answer:

Using Charles's Law, the final temperature of a gas compressed from 10.0 L to 5.0 L at constant pressure is 150 K.

Step-by-step explanation:

To determine the final temperature of a confined gas that is compressed while keeping the pressure constant, we can use Charles's Law. Charles's Law states that for a given mass of an ideal gas at constant pressure, the volume is directly proportional to the absolute temperature (V/T = constant).

To find the final temperature, we apply Charles's Law as follows:

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.

Given that V1 = 10.0 L, T1 = 300 K and V2 = 5.0 L, we rearrange the equation to solve for T2:

T2 = (V2 * T1) / V1

T2 = (5.0 L * 300 K) / 10.0 L

T2 = 150 K

The final temperature of the gas after being compressed to 5.0 L is 150 K, assuming constant pressure.

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