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Question: Answered & Verified by Expert
$19 \mathrm{~g}$ of water at $30^{\circ} \mathrm{C}$ and $5 \mathrm{~g}$ of ice at $-20^{\circ} \mathrm{C}$ are mixed together in a calorimeter. What is the final temperature of the mixture? Given specific heat of ice $=0.5 \mathrm{cal} \mathrm{g}^{-1}\left({ }^{\circ} \mathrm{C}\right)^{-1}$ and latent heat of fusion of ice $=80 \mathrm{cal} \mathrm{g}^{-1}$
PhysicsThermal Properties of MatterWBJEEWBJEE 2009
Options:
  • A $0^{\circ} \mathrm{C}$
  • B $-5^{\circ} \mathrm{C}$
  • C $5^{\circ} \mathrm{C}$
  • D $10^{\circ} \mathrm{C}$
Solution:
1005 Upvotes Verified Answer
The correct answer is: $5^{\circ} \mathrm{C}$
$5 \times .5 \times 20+5 \times 80+5 t=19 \times 1 \times(30-t)$
$\mathrm{t}=5^{\circ} \mathrm{C}$

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