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

Question

Dominick Ferrell

Chemistry

31 March, 14:04

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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Kaiden Mercado · 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.