Concepts Of Physics MCQ Edition [Volume 2]
- Exam
- Concepts Of Physics MCQ Edition [Volume 2]
- Subject
- Physics
- Chapter
- Calorimetry
Concepts Of Physics MCQ Edition [Volume 2] · Physics · Calorimetry
Four 2 cm × 2 cm × 2 cm cubes of ice are removed from a...
Four cubes of ice are removed from a refrigerator and placed in of a drink at 10^{}^{{}^{\circ}} \text{C}. Determine the temperature of the drink once thermal equilibrium is reached. Assume that the container has negligible heat capacity and no heat is lost to the surroundings of the drink. Density of ice , density of the drink , specific heat capacity of the drink , and latent heat of fusion of ice .
Options
- A0^{}^{{}^{\circ}} \text{C}
- B-1.5^{}^{{}^{\circ}} \text{C}
- C2.5^{}^{{}^{\circ}} \text{C}
- D5.0^{}^{{}^{\circ}} \text{C}
Correct answer
A. 0^{}^{{}^{\circ}} \text{C}
Step-by-step solution
Volume of the four ice cubes is .
Mass of the ice is .
Mass of the drink is .
Assuming the initial temperature of the ice is 0^{}^{{}^{\circ}} \text{C}, the heat required to melt all the ice is .
The maximum heat that can be released by the drink in cooling from 10^{}^{{}^{\circ}} \text{C} to 0^{}^{{}^{\circ}} \text{C} is .
Since , the heat released by the drink is insufficient to melt all the ice. Thus, only a fraction of the ice melts, and the mixture will consist of both ice and liquid.
Therefore, the system reaches thermal equilibrium at the melting point of ice, which is 0^{}^{{}^{\circ}} \text{C}.
Mass of the ice is .
Mass of the drink is .
Assuming the initial temperature of the ice is 0^{}^{{}^{\circ}} \text{C}, the heat required to melt all the ice is .
The maximum heat that can be released by the drink in cooling from 10^{}^{{}^{\circ}} \text{C} to 0^{}^{{}^{\circ}} \text{C} is .
Since , the heat released by the drink is insufficient to melt all the ice. Thus, only a fraction of the ice melts, and the mixture will consist of both ice and liquid.
Therefore, the system reaches thermal equilibrium at the melting point of ice, which is 0^{}^{{}^{\circ}} \text{C}.