Problem 1: Lake Evaporation (Pan Coefficient) A Class A evaporation pan recorded a total evaporation of 45 mm over a 5-day period. The average pan coefficient ($C_p$) for this specific location and season is known to be 0.72. Calculate the estimated daily evaporation rate from a nearby large lake.

Problem 2: Meyer's Formula for Evaporation A reservoir has a mean surface water temperature that yields a saturation vapor pressure ($e_s$) of 17.5 mm Hg. The mean actual vapor pressure of the air ($e_a$) at 8m above the surface is 12.2 mm Hg. The average wind velocity ($w$) measured at 8m above the surface is 15 mph. Using Meyer's formula with a coefficient $C = 0.36$ (for large deep waters), estimate the daily evaporation from the reservoir.

Problem 3: Horton's Infiltration Equation A soil has an initial infiltration capacity ($f_0$) of 50 mm/hr and an ultimate (constant) infiltration capacity ($f_c$) of 10 mm/hr. The decay constant ($k$) for this soil is $2.0 \text{ hr}^{-1}$. Calculate the infiltration capacity at $t = 0.5 \text{ hours}$ and $t = 2.0 \text{ hours}$ after the start of a storm.

Problem 4: Phi ($\Phi$) Index Calculation A storm with a 4-hour duration produced the following hourly rainfall depths: 15 mm, 28 mm, 20 mm, and 12 mm. The total surface runoff measured at the catchment outlet for this storm was 35 mm. Assuming depression storage and evaporation are negligible, calculate the $\Phi$-index for the catchment.

Case Study 1: Afforestation and Infiltration Rates A degraded, overgrazed pasture is converted back into a native forest (afforestation). Discuss how this land-cover change affects the parameters of Horton's infiltration equation ($f_0$, $f_c$, and $k$) and the overall hydrologic losses.

Case Study 2: The Penman-Monteith Equation in Precision Agriculture Discuss why modern precision agriculture relies heavily on the FAO Penman-Monteith equation for irrigation scheduling, compared to simpler empirical methods like the Pan Evaporation method.