JEE Mains · Physics · STD 11- 8. mechanical properties of solids
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 \(2256\text{ kJ/kg.K}\), specific heat capacity of water \(4200\text{ J/kg.K}\))
- A 920
- B 922
- C 924
- D 926
Answer & Solution
Correct Answer
(B) 922
Step-by-step Solution
Detailed explanation
Heat extracted to cool \(x\) gram of water from \(50^{\circ}\text{C}\) to \(0^{\circ}\text{C}\) is given by: \(Q_1 = m_1 c \Delta T_1\) \(Q_1 = x \times 4.2 \times (50 - 0) = 210x \text{ J}\) Heat required to raise the temperature of \((1000 - x)\) gram of water from…
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