A geyser heats water flowing at the rate of 3.0 litres per minute from $27^{\circ} \mathrm{C}$ to $7

Question

A geyser heats water flowing at the rate of 3.0 litres per minute from $27^{\circ} \mathrm{C}$ to $77^{\circ} \mathrm{C}$. If the geyser operates on a gas burner, then the rate of consumption of the fuel if its heat of combustion is $4.0 	imes 10^{4} \mathrm{~J} / \mathrm{g}$ is\

Professor PC Thomas Classes · Answer

Energy supplied by burner per minute $=$ mass of fuel consumed per minute $x$ rate of combustion\ $=\mathrm{m} 	imes 4 	imes 10^{4} \mathrm{~J} / \mathrm{min}$.\ Mass of water heated per minute\ $=3 	imes 4200 	imes 50 \mathrm{~J} / \mathrm{min}$.\ $\Rightarrow \mathrm{m} 	imes 4 	imes 10^{4}=3 	imes 4200 	imes 50$\ $\mathrm{m}=\frac{3 	imes 5200 	imes 50}{4 	imes 104}$\ $=15.75 \mathrm{~g} \mathrm{~min}^{-1} \mathrm{~g} \mathrm{~min}^{-1} \simeq 16 \mathrm{~g} \mathrm{~min}^{-1}$\