A geyser heats water flowing at a rate of 2.0kg per minute from $30^{\circ} C$ to $70^{\circ} C .$ if geyser operates on a gas burner the rate of combustion of fuel will be ____ g min^-1
(Heat of combustion $= 8 \times 10^{3} {jg}^{- 1}$ Specific heat of water $= 4 .2 {jg}^{- 1}^{\circ} C^{- 1}$ )

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answer is 42.

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Detailed Solution

heat absorbed by water per min $= 2 \times 4200 \times 40 = 336000 J$
Now, $8 \times 10^{3} J$ of heat is produced by 1gm.
so, $336000 J$ of heat is produced by 1gm
= $\frac{1}{8 \times 10^{3}} \times 336000 gm$
So, rate of combustion=42gm/min.

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