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Chemistry

What will be the volume of a gas when 3 litres of it is cooled down from 27°C to -73°C at constant pressure?

Gas Laws

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Answer

V1 = Initial volume of the gas = 3 litres
T1 = Initial temperature of the gas = 27°C = 27 + 273 = 300 K
T2 = Final temperature of the gas = -73°C = -73 + 273 = 200 K
V2 = Final volume of the gas = ?

By Charles' Law:

V1T1=V2T2\dfrac{\text{V}1}{\text{T}1} = \dfrac{\text{V}2}{\text{T}2}

Substituting the values :

3300=V2200V2=3×23V2=2 lit\dfrac{3}{300} = \dfrac{\text{V}2}{200} \\[1em] \text{V}2 = \dfrac{3 \times 2}{3} \\[1em] \text{V}_2 = 2 \text{ lit}

∴ Final volume = 2 litres.

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