12.1 A geyser heats water flowing at the rate of 3.0 liters 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 * $10^{4}$ J/g?

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Vishal Baghel | Contributor-Level 10

8 months ago

Initial temperature, $T_{1}$ = 27 °C

Final temperature, $T_{2}$ = 77 °C

Rise in temperature, $? T = T_{2} - T_{1} = 50 ?$

Heat of combustion = 4.0 * $10^{4}$ J/g

Specific heat of water, c = 4.21 J/g/ $?$

Mass of flowing water, m = 3 lit/min = 3000 g/min

Total heat used, $? Q = m c ? T$ = 3000 $* 4.21 * 50$ = 6.315 $* 10^{5}$ J/min

Rate of consumption = $\frac{6.315 * 10^{5}}{4.0 * 10^{4}}$ g/min = 15.79 g/min

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12.1 A geyser heats water flowing at the rate of 3.0 liters 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 * 104 J/g?

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