A fountain sends water to a height of 100 metres. What must be the pressurisation (above atmospheric) of the water system? 1 ATM = 1.01 *105 N/m². A)1.0 ATM B)4.2 ATM C)7.2 ATM D)9.7 ATM E)8.2 ATM

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Quizplus · Accepted Answer

The pressure needed to send water to a height of 100 metres is given by P = ρgh, where ρ is the density of water, g is acceleration due to gravity and h is the height of the water column. Substituting values, we get P = (1000 kg/m3)(9.81 m/s2)(100 m) = 98100 Pa. Converting to ATM using the given conversion factor, we get P = 0.969 ATM. Adding this to atmospheric pressure of 1 ATM, we get a total pressurisation of 1.969 ATM, which is closest to option D) 9.7 ATM (rounded to one decimal place).

A Fountain Sends Water to a Height of 100 Metres