In a constant-rate cake filtration operation, the collected filtrate volumes are $120\:m^{3}$ and $240\:m^{3}$ at $1$ min and $2$ min, respectively. Assume the cake resistance to be constant and the filter medium resistance to be negligible. If the pressure-drop across the cake is $10$ $\text{kPa}$ at $1$ min, its value at $2$ min is _________________ $\text{kPa}$ (rounded off to the nearest integer).