5. Use the mass balance from step 4 above to show that: dtdh=AvEqn1 where h is height of water in the tank, t is time, A is cross-sectional area of the tank, and Vdot is volumetric flowrate. 6. Assuming a general solution for Eqn 1 takes the form: dtdh=khn Solve Eqn 1 for values of n=0,n=0.5 and n=1 to derive linearised relationships of how height, h varies with time, t. 7. Plot the relationships for derived in (6) above on graph paper. By visual comparison, which derived relationship best agrees with the experimental data? 8. How might this derivation be useful in a real-world application? 5. Use the mass balance from step 4 above to show that: dtdh=AvEqn1 where h is height of water in the tank, t is time, A is cross-sectional area of the tank, and Vdot is volumetric flowrate. 6. Assuming a general solution for Eqn 1 takes the form: dtdh=khn Solve Eqn 1 for values of n=0,n=0.5 and n=1 to derive linearised relationships of how height, h varies with time, t. 7. Plot the relationships for derived in (6) above on graph paper. By visual comparison, which derived relationship best agrees with the experimental data? 8. How might this derivation be useful in a real-world application