A sample of ideal gas is in a sealed container. The pressure of the gas is 435 torr, and the temperature is 3 ∘C. If the temperature changes to 77 ∘C with no change in volume or amount of gas, what is the new pressure, P2, of the gas inside the container?

Question

Chemistry

Ariel Chapman

4 February, 19:30

A sample of ideal gas is in a sealed container. The pressure of the gas is 435 torr, and the temperature is 3 ∘C. If the temperature changes to 77 ∘C with no change in volume or amount of gas, what is the new pressure, P2, of the gas inside the container?

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Answers (1)

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Walker Conway · Answer 1

P₂ = 552 Torr

Explanation:

From Gay-Lussac Law = > Change in pressure of a confined gas at constant volume and mass is directly proportional to the change in temperature.

P ∝ T = > P = k·T = > k = P/T

for k₁ = k₂ = > P₁/T₁ = P₂/T₂

P₁ = 435 Torr

T₁ = 3°C = 276K

P₂ = ?

T₂ = 77°C = 350K

P₂ = 435Torr (350K/276K) = 552 Torr