JEE Mains · Physics · STD 11 - 10.1, thermonetry,thermal expansion and calorimetry
- JEE Mains 2026
- Easy
- MCQ
A gas based geyser heats water flowing at the rate of 5.0 litres per minute from \(27^{\circ} C\) to \(87^{\circ} C\).
The rate of consumption of the gas is ___________ \(g / s\).
(Take heat of combustion of gas \(=5.0 \times 10^4 J / g\) ) specific heat capacity of water \(=4200 J / kg.~{ }^{\circ} C\)
Pick an option to check your answer.
Answer & Solution
Correct Answer
(C) 0.42
Step-by-step Solution
Detailed explanation
Water flow rate \(=5 \ell / \min =\frac{5}{60} kg / s\)
∴ Power of heater \(=\frac{ dm }{ dt } S \Delta T =\frac{1}{12} \times 4200 \times 60 W\)
\(\therefore \quad\) Let rate of consumption of gas be x \( g / s\).
\(\therefore \quad x \times 5.0 \times 10^4=\frac{1}{12} \times 4200 \times 60\)
\(\Rightarrow \quad x=4200 \times 10^{-4}=0.42 g / s\)
∴ Power of heater \(=\frac{ dm }{ dt } S \Delta T =\frac{1}{12} \times 4200 \times 60 W\)
\(\therefore \quad\) Let rate of consumption of gas be x \( g / s\).
\(\therefore \quad x \times 5.0 \times 10^4=\frac{1}{12} \times 4200 \times 60\)
\(\Rightarrow \quad x=4200 \times 10^{-4}=0.42 g / s\)
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