Question

Keeping the pressure constant, calculate the temperature in centigrade when volume of gas at O°C double itself.

Answer 1

Keeping the pressure constant, the temperature in centigrade of a gas at a volume double its initial volume is 273 °C .

• Given,

The gas is kept at a constant pressure.

Let the initial volume of the gas at 0°C (T₁) be V₁.

T₁ = 0 + 273 K = 273 K

• The final volume (V₂) of the gas is twice its initial volume.

=> V₂ = 2V₁

Let the final temperautre be T₂.

• Applying Charle's law at constant pressure,

V₁ / T₁ = V₂ / T₂

where V₁ is the initial volume,

T₁ is the initial temperautre,

V₂ is the final volume,

and T₂ is the final temperautre.

• Therefore,

V₁ / 273 K = 2V₁ / T₂

Or, T₂ = (2V₁ × 273 K) / V₁

Or, T₂ = 546 K

Or, T₂ = (546 - 273) °C

Or, T₂ = 273 °C