How much work is done by pressure in forcing `2.0 m^(3)` of water through a pipe having an internal diameter of 13 mm if the difference in pressure at the two ends of the pipe is 1.0 atm?

Explanation

To find the work done by pressure in forcing 2.0 m³ of water through a pipe with a given pressure difference, we can follow these steps:

### Step 1: Understand the given data
- Volume of water (V) = 2.0 m³
- Internal diameter of the pipe (d) = 13 mm = 0.013 m (convert mm to m)
- Pressure difference (ΔP) = 1.0 atm = 1.01 x 10^5 Pa (convert atm to Pascal)

### Step 2: Calculate the cross-sectional area (A) of the pipe
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