At time t = 0, a vessel contains a mixture of 10. kg of water and an unknown mass of ice in equilibrium at 0°C. The temperature of the mixture is measured over a period of an hour, with the following results: During the first 50. min, the mixture remains at 0°C; from 50. min to 60. min, the temperature increases steadily from 0°C to 2.0°C. Neglecting the heat capacity of the vessel, determine the mass of ice that was initially placed in it. Assume a constant power input to the container.

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At time t = 0, a vessel contains a mixture of 10. kg of water and an unknown mass of ice in equilibrium at 0°C. The temperature of the mixture is measured over a period of an hour, with the following results: During the first 50. min, the mixture remains at 0°C; from 50. min to 60. min, the temperature increases steadily from 0°C to 2.0°C. Neglecting the heat capacity of the vessel, determine the mass of ice that was initially placed in it. Assume a constant power input to the container.

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Step 1

Formula to calculate the rate of energy supplied by the source is,

Step 2

For the next 10 minute, the power input by the source increases the temperature of the cold water from the ice and the water already ...

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