5 g of water at 30^∘ C and 5 g of ice at -20^∘ C are mixed together in a calorimeter. The wate

step 1 Hello students. In this question, we have mass of water equals to 5 gram at temperature T1 equal

5 g of water at 30^∘ C and 5 g of ice at -20^∘ C are mixed...

$5 \mathrm{~g}$ of water at $30^{\circ} \mathrm{C}$ and $5 \mathrm{~g}$ of ice at $-20^{\circ} \mathrm{C}$ are mixed together in a calorimeter. The water equivalent of calorimeter is negligible and specific heat and latent heat of ice are $0.5 \mathrm{cal} / \mathrm{g}^{\circ} \mathrm{C}$ and $80 \mathrm{cal} / \mathrm{g}$ respectively. The final temperature of the mixure is: (a) $0^{\circ} \mathrm{C}$ (b) $-8^{\circ} \mathrm{C}$ (c) $-4^{\circ} \mathrm{C}$ (d) $2^{\circ} \mathrm{C}$

$5 \mathrm{~g}$ of water at $30^{\circ} \mathrm{C}$ and $5 \mathrm{~g}$ of ice at $-20^{\circ} \mathrm{C}$ are mixed together in a calorimeter. The water equivalent of calorimeter is negligible and specific heat and latent heat of ice are $0.5 \mathrm{cal} / \mathrm{g}^{\circ} \mathrm{C}$ and $80 \mathrm{cal} / \mathrm{g}$ respectively. The final temperature of the mixure is:
(a) $0^{\circ} \mathrm{C}$
(b) $-8^{\circ} \mathrm{C}$
(c) $-4^{\circ} \mathrm{C}$
(d) $2^{\circ} \mathrm{C}$

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Key Concepts

Specific Heat Capacity

Specific heat capacity is a property of a material that indicates the amount of heat required to raise the temperature of a unit mass of the material by one degree Celsius. It is fundamental in calculating the energy exchange during temperature changes in substances without a phase change.

Latent Heat

Latent heat is the amount of energy absorbed or released by a substance during a phase change, such as melting or freezing, at a constant temperature. In calorimetry problems, it is crucial for determining the energy required to change the phase of a substance without changing its temperature.

Calorimetry

Calorimetry is the study of measuring the amount of heat exchanged in chemical reactions or physical changes. It involves using a calorimeter to isolate the system and accurately determine the heat transfer, ensuring that the conservation of energy principle is applied correctly.

Energy Conservation

The energy conservation principle in the context of calorimetry states that the total heat lost by warmer substances must equal the total heat gained by cooler substances in an isolated system. This concept is used to calculate the final equilibrium temperature when substances at different temperatures are mixed.

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