A lake with a surface area of 525 acres was monitored over a period of time. During onemonth period the inflow was 30 cfs (ie. ft3 /sec), the outflow was 27 cfs, and a 1.5 in seepage loss was measured. During the same month, the total precipitation was 4.25 inches. Evaporation loss was estimated as 6 inches. Estimate the storage change for this lake during the month.

The storage of the lake has increased in cubic feet during the month.

Explanation:

We must estimate the monthly storage change of the lake by considering inflows, outflows, seepage and evaporation losses and precipitation. That is:

Where is the monthly storage change of the lake, measured in cubic feet.

Monthly inflow

Monthly outflow

Seepage losses

Where:

- Seepage length loss, measured in feet.

- Surface area of the lake, measured in square feet.

If we know that and , then:

Evaporation losses

Where:

- Evaporation length loss, measured in feet.

- Surface area of the lake, measured in square feet.

If we know that and , then:

Precipitation

Where:

- Precipitation length gain, measured in feet.

- Surface area of the lake, measured in square feet.

If we know that and , then:

Finally, we estimate the storage change of the lake during the month:

The storage of the lake has increased in cubic feet during the month.

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explanation: