High School

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8.89 L of hydrogen gas is collected at 38.8 °C. Find the volume the gas will occupy at -39.9 °C if the pressure remains constant.

Answer :

Charle's Law states: V/T = k
where k is a constant

We can get this from the ideal gas law when pressure, and number of moles are held constant.

We can also use this and say
V₁/T₁ = k = V₂/K₂

V₁/T₁ = V₂/K₂

38.8°C = 311.95 K
-39.9°C = 233.25 K

8.89L/311.95K = V₂/233.25K

V₂ = 6.65 L

The gas will have a volume of 6.65 L at -39.9°C.

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