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A geyser heats water flowing at the rate...

A geyser heats water flowing at the rate of `3.0` litre per minute from `27^(@)C` to `77^(@)C`. If the geyser operates on a gas burner and its heat of combustion is `4.0 xx 10^(4) J//g`, then what is the rate of combusion of fuel (approx.)?

Text Solution

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Here, volume of water heated= `3.0 litre//min`,
Mass of water heated, `m=3000g//min`
Rise in temperature, `DeltaT= 77-27= 50^(@)C`
sp. Heat water, `c=4.2 J g^(-1).^(@)C^(-1)`
Amount of heat used, `DeltaQ= mc DeltaT= 3000xx4.2xx50= 63xx10^(4)J//min`.
Rate of combustion of fuel `= (63xx10^(4))/(4xx10^(4))= 15.75 g//min`.
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