AP EAMCET · PHYSICS · Thermal Properties of Matter
\(5 \mathrm{~g}\) of ice at \(-30^{\circ} \mathrm{C}\) and \(20 \mathrm{~g}\) of water at \(35^{\circ} \mathrm{C}\) are mixed together in a calorimeter.
The final temperature of the mixture is (Neglect heat capacity of the calorimeter, specific heat capacity of ice \(=0.5 \mathrm{cal} \mathrm{g}^{-1}{ }^{\circ} \mathrm{C}^{-1}\) and latent heat of fusion of ice \(=80 \mathrm{cal} \mathrm{g}^{-1}\) and specific hea: capacity of water \(\left.=1 \mathrm{cal} \mathrm{g}^{-1}{ }^{\circ} \mathrm{C}^{-1}\right)\)
- A \(0^{\circ} \mathrm{C}\)
- B \(4^{\circ} \mathrm{C}\)
- C \(5^{\circ} \mathrm{C}\)
- D \(9^{\circ} \mathrm{C}\)
Answer & Solution
Correct Answer
(D) \(9^{\circ} \mathrm{C}\)
Step-by-step Solution
Detailed explanation
Given, \(s_w=1 \mathrm{cal} \mathrm{g}^{-1}{ }^{\circ} \mathrm{C}^{-1}\) \(\begin{aligned} & s_{\text {ice }}=0.5 \mathrm{cal} \mathrm{g}^{-1}{ }^{\circ} \mathrm{C}^{-1} \\ & L_f=80 \mathrm{cal} \mathrm{g}^{-1}\end{aligned}\) Mass of ice, \(m_{\text {ice }}=5 \mathrm{~g}\) Mass…
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