JEE Main 2026 · 5 Apr · Shift 2 · Physics Q47

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PhysicsInteger+4 / -1Question 47 of 75

The heat extracted out of $x$ gram of water initially at 50 °C to cool it down to 0 °C is sufficient to evaporate $(1000-x)$ gram of water also initially at 50 °C. The value of $x$ (closest integer ) is ________.

(Take latent heat of water 2256 kJ/kg. K, specific heat capacity of water 4200 J/kg. K)

Your answer

Answer and worked solution

Official answer: 922

Heat balance (in kg).
$x(4200)(50)=(1000-x)\left[4200(50)+2256\times10^3\right].$
That is, $210000x=2466000(1000-x)$ , so $x=\dfrac{2466\times10^6}{2676\times10^3}\approx921.5$ .

Answer: 922

Topics:Latent heat and phase change Calorimetry and specific heat

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JEE Main 2026 · 5 Apr · Shift 2, Physics question 47