12.1 A geyser heats water flowing at the rate of 3.0 litres per minute from 27 °C to 77 °C. If the geyser operates on a gas burner, what is the rate of consumption of the fuel if its heat of combustion is 4.0 × 10 J/g?
It is given in the question that:
Rise in temperature of the water, ΔT = T – T = 77 – 27 = 50°C
Heat of combustion = 4 × 10 J/g
Specific heat of water, c = 4.2 J gm
Mass of flowing water, m = 3.0 litre/min = 3000 g/min
Total heat used, ΔQ = mc ΔT = 3000 × 4.2 × 50 = 6.3 × J/min
Rate of consumption = = 15.75 gm/min
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