Francine turns on the hot tap of the kitchen faucet to wash her hands. Initially

Question

Francine turns on the hot tap of the kitchen faucet to wash her hands. Initially the water is cold, but after 18.3 s she detects an increase in the temperature of the water. During this time 2.85 × 10-3 m3 of water has flowed from the tap.

What is the volume flow rate of water in the pipes leading to the faucet?

Assume that 18.3 s is the time it takes for water to travel from the hot-water tank along a single pipe of inside diameter 19.1 mm. What is the length of pipe connecting the hot-water tank to the faucet?

Explanation / Answer

According to the given problem,

a) Q = 2.85 × 10³ m³ / 18.3 s = 0.0001557 m³/s

b) V = r²h, r = 0.0191 / 2 = 0.00955
h = V/r²
h = 0.00285 / ( × .000955²)
h = 9.947 m

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