A laboratory $1-$D flow setup applies constant heads to two boundaries of a soil sample, as illustrated. Use the level of point C as the reference datum, assume saturated, steady$-$state flow. The soil's hydraulic conductivity is $7^{**}{10}^{-5}\frac{m}{sec}.$

a$)$ Determine total head, pressure head, elevation head at points A$,$ B and C$.$

b$)$ Calculate the total volume of water that flows through the soil in $5$ minutes.