A gas has a volume of 800 mL at a temperature of -55.0 celsius what volume with the gas occupy at 25.0 celsius? show your work

Respuesta :

We can use Charle's law for this question.

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.
For two different situations, the following formula can be used.
V₁/T₁ = V₂/T₂

According to the given data,
V₁ = 800 mL
T₁ = -55.0 ⁰C = 218 K
V₂ = ? 
T₂ = 25.0 ⁰C = 298 K

From substitution,
800 mL / 218 K = V₂ / 298 K                                    
                     V₂ = (800 mL / 218 K) x 298 K                 
                     V₂ = 1093.58 mL

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