The volume of a given mass of a gas at 27°C is 100 cc. To what temperature should it be heated at the same pressure so that it will occupy a volume of 150 cc ?

V₁ = Initial volume of the gas = 100 cc
T₁ = Initial temperature of the gas = 27°C = 27 + 273 = 300 K

V₂ = Final volume of the gas = 150 cc
T₂ = Final temperature of the gas = ?

By Charles's Law:

$\dfrac{\text{V}$1}{\text{T}1} = \dfrac{\text{V}2}{\text{T}2}

Substituting the values :

$\dfrac{100}{300} = \dfrac{150}{\text{T}$2} \\[0.5em] \text{T}2 = 150 \times 3 = 450 \text{K}

T₂ in °C = 450 - 273 = 177°C

Therefore, final temperature of the gas = 177°C