A 48.3-mL sample of gas in a cylinder equipped with a piston is warmed from 22 °C to 87

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Given :

Initial Volume of gas \(\left(\mathrm{V}_{\mathrm{i}}\right)=48.3\mathrm{\ mL}\)

Initial temperature \(\left(\mathrm{T}_{\mathrm{i}}\right)=22^{\circ}\mathrm{C}=22+273=295\mathrm{\ K}\)

Final Temperature \(\left(\mathrm{T}_{\mathrm{f}}\right)=87^{\circ}\mathrm{C}=87+273=360\mathrm{\ K}\)

Final volume \(\left(V_{f}\right)=\text { ? }\)

Charles’s law states that ‘At a fixed pressure, the volume of a gas is directly proportional to the kelvin temperature of the gas.’

Mathematically it can be represented as :

\(V\ \alpha\ T\) or \(\frac{V}{T}=\mathrm{k}\)

where:

V = volume of the gas,

T =  temperature of the gas (measured in kelvins),

k = constant.

With pressure, it can be represented as  :

\(\frac{P_{i} V_{i}}{T_{i}}=\frac{P_{f} V_{f}}{T_{f}}\)