A sample of gas has a volume of 100.0 L at 135°C. Assuming the pressure remains constant, what is the volume of the gas if its temperature decreases to 72.0 °C?

Question

Reagan Harrison

Chemistry

13 December, 11:53

A sample of gas has a volume of 100.0 L at 135°C. Assuming the pressure remains constant, what is the volume of the gas if its temperature decreases to 72.0 °C?

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Answers (1)

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Alessandro Yang · Answer 1

Answer: 84.56L

Explanation:

Initial volume of gas V1 = 100L

Initial temperature T1 = 135°C

Convert temperature in Celsius to Kelvin

(135°C + 273 = 408K)

Final temperature T2 = 72°C

(72°C + 273 = 345K)

Final volume V2 = ?

According to Charle's law, the volume of a fixed mass of a gas is directly proportional to the temperature.

Mathematically, Charles' Law is expressed as: V1/T1 = V2/T2

100L/408K = V2/345K

To get the value of V2, cross multiply

100L x 345K = V2 x 408K

34500 = V2 x 408K

V2. = 34500/408

V2 = 84.56L

Thus, the volume of the gas becomes 84.56 liters