Physics · Thermal Properties of Matter

JEE Main 2026 — 21 January, Morning Shift — Question 26

A gas based geyser heats water flowing at the rate of 5.0 litres per minute from 27∘C27^{\circ} \mathrm{C} to 87∘C87^{\circ} \mathrm{C}. The rate of consumption of the gas is ____\_\_\_\_ g/s. (Take heat of combustion of gas =5.0×104 J/g=5.0 \times 10^{4} \mathrm{~J} / \mathrm{g} ) specific heat capacity of water =4200 J/kg⋅∘C=4200 \mathrm{~J} / \mathrm{kg} \cdot{ }^{\circ} \mathrm{C}

  1. Option A:

    2.1

  2. Option B:

    4.2

  3. Option C:

    0.42

    Correct
  4. Option D:

    0.21

Answer: C

Step-by-step solution

Water flow rate =5ℓ/min⁡=560 kg/s=5 \ell / \min =\frac{5}{60} \mathrm{~kg} / \mathrm{s} ∴ Power of heater =dmdtSΔT=112×4200×60 W=\frac{\mathrm{dm}}{\mathrm{dt}} \mathrm{S} \Delta \mathrm{T}=\frac{1}{12} \times 4200 \times 60 \mathrm{~W} ∴ Let rate of consumption of gas be xg/s\mathrm{x} \mathrm{g} / \mathrm{s}. ∴x×5.0×104=112×4200×60\therefore \quad \mathrm{x} \times 5.0 \times 10^{4}=\frac{1}{12} \times 4200 \times 60 ⇒x=4200×10−4=0.42 g/s\Rightarrow \quad \mathrm{x}=4200 \times 10^{-4}=0.42 \mathrm{~g} / \mathrm{s} Correct option (3)

Answer key and solution verified before publishing.

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Exam
JEE Main 2026
Subject
Physics
Chapter
Thermal Properties of Matter
Topic
Thermometry and Calorimetry
A gas based geyser heats water flowing at the rate of 5.0 litres per… | JEE Main 2026 PYQ with Solution · DhiX AI