JEE Advanced 2024 · Paper 1, Physics question 8

The specific heat capacity of a substance is temperature dependent and is given by the formula $C = kT$, where $k$ is a constant of suitable dimensions in SI units, and $T$ is the absolute temperature. If the heat required to raise the temperature of $1\,\mathrm{kg}$ of the substance from $-73\,^{\circ}\mathrm{C}$ to $27\,^{\circ}\mathrm{C}$ is $nk$, the value of $n$ is _____.

[Given: $0\,\mathrm{K} = -273\,^{\circ}\mathrm{C}$.]