First slide

Calorimetry

Question

10 gm of ice at -20°C is dropped into a calorimeter containing 10 gm of water at 10°C. The specific heat of water is twice that of ice. Neglect heat capacity of the calorimeter. When equilibrium is reached, the calorimeter will contain :

Moderate

A

10 gm ice and 10 gm of water
B

20 gm of water
C

5 gm ice and 15 gm of water
D

20 gm ice

Solution

Heat that can be given by water, till it reaches 0°C,
$Q_{1} = 10 \times S \times 10 = 100 S$
Heat that can be taken by ice to reach 0°C,
$\begin{array}{l} Q_{2} = 10 \times (\frac{S}{2}) \times 20 = 100 S \\ Q_{1} = Q_{2} \end{array}$
$∴$ No ice melts and no water freezes.

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