10-1.Thermometry, Thermal Expansion and Calorimetry
hard

A geyser heats water flowing at a rate of $2.0 kg$ 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 $\dots \; g \min ^{-1}$

[Heat of combustion $=8 \times 10^{3} Jg ^{-1}$  Specific heat of water $=4.2 Jg ^{-1} \; { }^{\circ} C ^{-1}$ ]

A

$32$

B

$42$

C

$52$

D

$62$

(JEE MAIN-2022)

Solution

$m =2000 \; gm / min$

Heat required by $water / min = mS \Delta T$

$=(2000) \times 4.2 \times 40 \; J / min$

$=336000 \; J / min$

The rate of combustion $=\left(\frac{ dm }{ dt } L \right)=336000 \; J / min$

$\frac{ dm }{ dt }=\frac{336000}{8 \times 10^{3}} \; g / min$

$=42 \; gm / min$

Standard 11
Physics

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