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A gas has a volume of 800 mL at a temperature of -55.0 degrees Celsius. What Volume will the gas occupy at 25.0 degrees Celsius? I need the formula for this. Thanks!

1 Answer

7 votes

Charle's law says "at a constant pressure, the volume of a fixed amount of gas is directly proportional to its absolute temperature".

V α T

Where V is the volume and T is the temperature in Kelvin of the gas. We can use this for two situations as,
V/T = V/T

V₁ = 800 mL

T₁ = -55.0 ⁰C = 218 K
V
= ?
T
₂ = 25.0 ⁰C = 298 K

By applying the formula,
800 mL / 218K = V
₂ / 298 K
V
₂ = (800 mL / 218 K) x 298 K
V
= 1093.58 mL

Hence, the volume of the gas at 25.0 ⁰C is
1093.58 mL

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