A block of ice at -20,^oC having a mass of 2, kg is added to a 3, kg water at 15,^oC . Neglecting he

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10-1.Thermometry, Thermal Expansion and Calorimetry

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A block of ice at $-20\,^oC$ having a mass of $2\, kg$ is added to a $3\, kg$ water at $15\,^oC$. Neglecting heat losses and the heat capacity of the container

A

The final temperature will be $0\,^oC$.

B

Ice will completely melt

C

Water will partially freeze

D

Final temperature will be more than $0\,^oC$

Solution

$\mathrm{Q}_{\mathrm{reqd}}=2000 \times \frac{1}{2} \times(0-20)=20000 \mathrm{cal}$

$\mathrm{Q}_{\mathrm{av}}=3000 \times 1 \times(15-0)=45000 \mathrm{cal}$

$\mathrm{Q}_{\text {reqd to melt }}=2000 \times 80=160000 \mathrm{cal} \rightarrow$

not sufficient

Standard 11

Physics

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