In a juice filtration process, solid concentration per m\(^3\) of filtrate is 0.2 kg. During filtration of 12.49 m\(^3\) of juice, 0.02 m thick cake (porosity of 0.32) is deposited. If 2.5 kg of solid is collected in 180 s, the pressure drop across the cake in kPa is:
\[
\text{Absolute viscosity of juice} = 2.12 \times 10^{-3} \, \text{kg m}^{-1}\text{s}^{-1},
\text{Specific cake resistance} = 1.2 \times 10^8 \, \text{m kg}^{-1}
\]