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Chemistry

Calculate the following :

The temperature to which a gas 'P' has to be heated to triple it's volume, if the gas originally occupied 150 cm3 at 330 K [pressure remaining constant].

Gas Laws

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Answer

V1 = Initial volume of the gas = 150 cm3
T1 = Initial temperature of the gas = 330 K

T2 = Final temperature of the gas = ?
V2 = Final volume of the gas = 3 x 150 cm3 = 450 cm3

By Charles's Law:

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

Substituting the values :

150330=450T2T2=450×330150T2=990 K\dfrac{150}{330} = \dfrac{450}{\text{T}2} \\[0.5em] \text{T}2 = \dfrac{450 \times 330}{150} \\[0.5em] \text{T}_2 = 990 \text{ K}

Final temperature in °C = 990 - 273 = 717°C

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