10 g of ice at - 10oC is mixed with 10 g of water at 0oC . The amount of heat required to raise the temperature of the mixture to 10oC is

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Q: (NDA-II/2019)
10 g of ice at - 10oC is mixed with 10 g of water at 0oC . The amount of heat required to raise the temperature of the mixture to 10oC is

question_subject: 

Science

question_exam: 

NDA-II

stats: 

0,1,5,2,2,1,1

keywords: 

{'10oc': [0, 0, 0, 1], 'temperature': [0, 1, 1, 7], 'ice': [0, 0, 1, 0], 'mixture': [0, 0, 1, 5], 'heat': [10, 3, 13, 46], 'amount': [1, 2, 4, 9]}

To find out the amount of heat required to raise the temperature of the mixture to 10oC, we need to consider the heat absorbed by ice during its phase change from solid to liquid state, and the heat absorbed by both ice and water during their temperature change.

Option 1: 4000 cal

This option is incorrect because it does not take into account the specific heat capacity of both ice and water during their temperature change.

Option 2: 550 cal

This option is incorrect because it only considers the heat absorbed by the ice during its phase change from solid to liquid, but does not take into account the heat absorbed by both ice and water during their temperature change.

Option 3: 1050 cal

This option is correct. It considers the heat absorbed by the ice during its phase change from solid to liquid, as well as the heat absorbed by both ice and water during their temperature change. It takes into account the specific heat capacity of both ice and water.

Option 4: 1200 cal

This option is incorrect because it overestimates the amount of heat required. It does not take into account the specific heat capacity of both ice and water during their temperature change.

In summary, option 3 is the correct answer because it considers