AP EAMCET · PHYSICS · Thermal Properties of Matter
A \(50 \mathrm{~g}\) ice cube at \(-10^{\circ} \mathrm{C}\) is added to \(200 \mathrm{~g}\) of water at \(30^{\circ} \mathrm{C}\). The final temperature of the mixture is (specific heat of water \(=1 \mathrm{cal} \mathrm{g}^{-1}{ }^{\circ} \mathrm{C}^{-1}\), latent heat of fusion of ice \(=80 \mathrm{cal} \mathrm{g}^{-1}\) specific heat of ice \(=0.5 \mathrm{cal} \mathrm{g}^{-1}\) \({ }^{\circ} \mathrm{C}^{-1}\) )
- A \(20{ }^{\circ} \mathrm{C}\)
- B \(7^{\circ} \mathrm{C}\)
- C \(12{ }^{\circ} \mathrm{C}\)
- D \(10^{\circ} \mathrm{C}\)
Answer & Solution
Correct Answer
(B) \(7^{\circ} \mathrm{C}\)
Step-by-step Solution
Detailed explanation
Mass of ice, \(\mathrm{m}=50 \mathrm{~g}\) Temperature, \(\mathrm{T}=-10^{\circ} \mathrm{C}\) Added mass, \(\mathrm{m}^{\prime}=200 \mathrm{~g}\) Temperature at which mass added, \(\mathrm{T}^{\prime}=30^{\circ} \mathrm{C}\) final temperature of mixture,…
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