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Chemistry

At what temperature in degree centigrade will the volume of a gas, which is originally at 0°C, double itself, pressure remaining constant?

Gas Laws

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Answer

V1 = Initial volume of the gas = V
T1 = Initial temperature of the gas = 0°C = 273 K
V2 = Final volume of the gas = 2V
T2 = Final temperature 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 :

V273=2VT2T2=2×273T2=546 K\dfrac{\text{V}}{273} = \dfrac{2\text{V}}{\text{T}2} \\[1em] \text{T}2 = 2\times 273 \\[1em] \text{T}_2 = 546 \text{ K}

∴ Final temperature in °C = 546 - 273 = 273°C

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