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A small quantity mass m of water at theta temperature in degree celsius is poured on to large mass M of ice which is at its melting point if C is specific heat capacity of water and l the latent heat of fusion of ice then mass of ice melted is given by?
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A small quantity mass m of water at theta temperature in degree celsiu...
The mass of ice melted when a small quantity of water at a certain temperature is poured onto a large mass of ice at its melting point can be determined using the concepts of specific heat capacity and latent heat of fusion.
1. Specific Heat Capacity:
The specific heat capacity (C) of a substance is the amount of heat energy required to raise the temperature of a unit mass of the substance by one degree Celsius. For water, the specific heat capacity is approximately 4.186 J/g°C.
2. Latent Heat of Fusion:
The latent heat of fusion (l) is the amount of heat energy required to change a substance from solid to liquid at its melting point without any change in temperature. For ice, the latent heat of fusion is approximately 334 J/g.
3. Calculation:
When a small quantity of water at temperature θ is poured onto a large mass of ice at its melting point (0°C), the following energy exchange occurs:
- The water loses heat energy (Q1) to decrease its temperature from θ°C to 0°C. The heat energy lost can be calculated using the formula: Q1 = m * C * (0 - θ)
- The water at 0°C releases heat energy (Q2) to the ice to raise its temperature from 0°C to its melting point. The heat energy released can be calculated using the formula: Q2 = m * C * (0 - 0)
- The water at 0°C releases additional heat energy (Q3) to the ice to melt it without any change in temperature. The heat energy released can be calculated using the formula: Q3 = m * l
The total heat energy released by the water is the sum of Q1, Q2, and Q3. This heat energy is sufficient to melt a certain mass (M') of ice. Therefore, the mass of ice melted (M') can be calculated by dividing the total heat energy released by the latent heat of fusion: M' = (Q1 + Q2 + Q3) / l
Conclusion:
The mass of ice melted when a small quantity of water at a certain temperature is poured onto a large mass of ice at its melting point can be determined by calculating the total heat energy released by the water and then dividing it by the latent heat of fusion of ice.
1. Specific Heat Capacity:
The specific heat capacity (C) of a substance is the amount of heat energy required to raise the temperature of a unit mass of the substance by one degree Celsius. For water, the specific heat capacity is approximately 4.186 J/g°C.
2. Latent Heat of Fusion:
The latent heat of fusion (l) is the amount of heat energy required to change a substance from solid to liquid at its melting point without any change in temperature. For ice, the latent heat of fusion is approximately 334 J/g.
3. Calculation:
When a small quantity of water at temperature θ is poured onto a large mass of ice at its melting point (0°C), the following energy exchange occurs:
- The water loses heat energy (Q1) to decrease its temperature from θ°C to 0°C. The heat energy lost can be calculated using the formula: Q1 = m * C * (0 - θ)
- The water at 0°C releases heat energy (Q2) to the ice to raise its temperature from 0°C to its melting point. The heat energy released can be calculated using the formula: Q2 = m * C * (0 - 0)
- The water at 0°C releases additional heat energy (Q3) to the ice to melt it without any change in temperature. The heat energy released can be calculated using the formula: Q3 = m * l
The total heat energy released by the water is the sum of Q1, Q2, and Q3. This heat energy is sufficient to melt a certain mass (M') of ice. Therefore, the mass of ice melted (M') can be calculated by dividing the total heat energy released by the latent heat of fusion: M' = (Q1 + Q2 + Q3) / l
Conclusion:
The mass of ice melted when a small quantity of water at a certain temperature is poured onto a large mass of ice at its melting point can be determined by calculating the total heat energy released by the water and then dividing it by the latent heat of fusion of ice.
Community Answer
A small quantity mass m of water at theta temperature in degree celsiu...
Heat given by water=heat absorbed by melting ice
ML=mcthetha
M=mcthetha�L
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A small quantity mass m of water at theta temperature in degree celsius is poured on to large mass M of ice which is at its melting point if C is specific heat capacity of water and l the latent heat of fusion of ice then mass of ice melted is given by?
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A small quantity mass m of water at theta temperature in degree celsius is poured on to large mass M of ice which is at its melting point if C is specific heat capacity of water and l the latent heat of fusion of ice then mass of ice melted is given by? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A small quantity mass m of water at theta temperature in degree celsius is poured on to large mass M of ice which is at its melting point if C is specific heat capacity of water and l the latent heat of fusion of ice then mass of ice melted is given by? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A small quantity mass m of water at theta temperature in degree celsius is poured on to large mass M of ice which is at its melting point if C is specific heat capacity of water and l the latent heat of fusion of ice then mass of ice melted is given by?.
A small quantity mass m of water at theta temperature in degree celsius is poured on to large mass M of ice which is at its melting point if C is specific heat capacity of water and l the latent heat of fusion of ice then mass of ice melted is given by? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A small quantity mass m of water at theta temperature in degree celsius is poured on to large mass M of ice which is at its melting point if C is specific heat capacity of water and l the latent heat of fusion of ice then mass of ice melted is given by? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A small quantity mass m of water at theta temperature in degree celsius is poured on to large mass M of ice which is at its melting point if C is specific heat capacity of water and l the latent heat of fusion of ice then mass of ice melted is given by?.
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