- Home
- Standard 11
- Physics
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
Similar Questions
medium