At 30 deg C temperature, pressure of 8.4 litre of a gas is 1.2 bar. At same temperature, at what pressure will its volume become 3.36 litre
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Initial pressure = 1.2 bar
Initial volume = 8.4 litre
We have to find pressure of gas when its volume become 3.36 litre
★ Boyle's law : At constant temperature, the pressure of a fixed amount of gas varies inversely with its volume. (at constant T and n)
- P ∝ 1/V or P₁V₁ = P₂V₂
P₁ denotes initial pressure
V₁ denotes initial volume
P₂ denotes final pressure
V₂ denotes final volume
By substituting the given values, we get
➠ P₁V₁ = P₂V₂
➠ (1.2)(8.4) = P₂ × 3.36
➠ P₂ = 10.08/3.36
➠ P₂ = 3 bar
∴ At 3 bar pressure, its volume become 3.36 litre.
Additional Information :
- Charles law : Pressure remaining constant, the volume of a fixed mass of a gas is directly proportional to its absolute temperature
- Gay Lussac's law : At constant volume, pressure of a fixed amount of a gas varied directly with the temperature.
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