Question

A 250 mL container of a gas is at 100 degrees Celsius. At what temperature will the gas occupy a volume of 125 mL, the pressure remaining constant?

Answer 1

According to Charles' law,for a fixed of gas at a constant pressure,the volume (V) of the gas is directly proportional to its absolute(Kelvin) temperature(T).

So we can write V/T =constant when pressure is fixed

Or. V₁/T₁ = V₂/T₂

V₁T₂ = V₂T₁

T2 = (V₂T₁) / V₁

Given:V₁ = 125 mL, T₁ = 100^oC=273+100=373K , V₂ = 125 mL, T₂=?

T₂ =( V₂T₁) / V₁ =(125 mL * 373 K) / 250 mL

                         = 186.5 K

T₂= 186.5 K