At 300 k the pressure inside a gas filled container is 500 kPa if the pressure inside decreses to 100kpa but the volume remains the same what is the final temperature of the gas

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Chemistry

Coffey

12 December, 05:18

At 300 k the pressure inside a gas filled container is 500 kPa if the pressure inside decreses to 100kpa but the volume remains the same what is the final temperature of the gas

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Queen Bee · Answer 1

Answer is: final temperature of the gas is 60 K.

Gay-Lussac's Law states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature.

p ₁/T₁ = p₂/T₂.

p₁ = 500kPa.

T₁ = 300 K.

p₂ = 100 kPa.

500 kPa/300K = 100 kPa/T₂.

T₂ = 300K · 100kPa : 500 kPa.

T₂ = 60 K.