10 gm of ice cubes at 0^∘ C are released in a tumbler containing water (water equivalent 55 gm )

step 1 In this question we will learn about some basic concept of the calorimetry and heat transfer. Th

10 gm of ice cubes at 0^∘ C are released in a tumbler...

$10 \mathrm{gm}$ of ice cubes at $0^{\circ} \mathrm{C}$ are released in a tumbler containing water (water equivalent $55 \mathrm{gm}$ ) at $40^{\circ} \mathrm{C}$. Assuming that negligible heat is taken from the surrounding the temperature of water in the tumbler becomes nearly $(L=80 \mathrm{cal} / \mathrm{gm})$ (a) $31^{\circ} \mathrm{C}$ (b) $22^{\circ} \mathrm{C}$ (c) $19^{\circ} \mathrm{C}$ (d) $15^{\circ} \mathrm{C}$

$10 \mathrm{gm}$ of ice cubes at $0^{\circ} \mathrm{C}$ are released in a tumbler containing water (water equivalent $55 \mathrm{gm}$ ) at $40^{\circ} \mathrm{C}$. Assuming that negligible heat is taken from the surrounding the temperature of water in the tumbler becomes nearly $(L=80 \mathrm{cal} / \mathrm{gm})$
(a) $31^{\circ} \mathrm{C}$
(b) $22^{\circ} \mathrm{C}$
(c) $19^{\circ} \mathrm{C}$
(d) $15^{\circ} \mathrm{C}$

Key Concepts

Thermal Equilibrium

Thermal equilibrium occurs when two or more substances in contact no longer exchange heat, meaning they have reached the same temperature. In calorimetry problems, this is the final state after heat transfer processes such as melting, cooling, and heating have ceased, and it is the target temperature calculated using the energy balance equations.

Water Equivalent

Water equivalent refers to the representation of the thermal capacity of an object or system in terms of the mass of water that would absorb the same amount of heat for a given temperature change. It simplifies the analysis in calorimetry by allowing the use of water’s specific heat capacity to account for the thermal mass of containers or other materials.

Specific Heat Capacity

Specific heat capacity is a property that indicates the amount of heat required to raise the temperature of a unit mass of a substance by one degree Celsius. It is essential in calorimetry because it allows calculation of the heat gained or lost by a substance as it undergoes a change in temperature.

Latent Heat of Fusion

Latent heat of fusion is the amount of heat required to change a unit mass of a substance from solid to liquid state at its melting point without changing its temperature. In the context of calorimetry problems involving ice, it is crucial because it accounts for the energy absorbed during the melting of ice before the resulting water can change temperature.

Conservation of Energy in Calorimetry

This concept involves the principle that in an isolated system, the heat lost by warmer substances is equal to the heat gained by cooler substances. In calorimetry, this principle is applied to determine the final equilibrium temperature when substances at different temperatures are mixed, ensuring that the overall energy balance is maintained.

Please give Ace some feedback