At constant temperature, if the volume of the gas is doubled, the pressure also doubles. The new pressure of the gas is 50°C.
What is Charles's law?
Charles's law states that "the volume occupied by a definite quantity of gas is directly proportional to its absolute temperature.
It is expressed as;
V₁/T₁ = V₂/T₂
Given that;
- Initial volume of gas V₁ = 500cm³
- Initial temperature of gas T₁ = 25°C
If final volume is double of initial volume.
- Final volume V₂ = 2 × 500cm³ = 1000cm³
- Final temperature T₂ = ?
V₁/T₁ = V₂/T₂
V₁T₂ = V₂T₁
T₂ = V₂T₁ / V₁
T₂ = ( 1000cm³ × 25°C ) / 500cm³
T₂ = 25000m³°C / 500cm³
T₂ = 50°C
At constant temperature, if the volume of the gas is doubled, the pressure also doubles. The new pressure of the gas is 50°C.
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