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Question

30 g of ice at 00C and 20 g of steam at 1000C are mixed. The composition of the resultant mixture is:

A
40 g of water and 10 g steam at 1000C
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B
10 g of ice and 40 g of water at 00C
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C
50 g of water at 1000C
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D
35 g of water and 15 g of steam at 1000C
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Solution

The correct option is B 40 g of water and 10 g steam at 1000C
Energy spent in converting 30 g of ice at 0C into 20 g of water at 0C =miceLice=3080=2400cal
Energy released in converting 20g steam at 100C into 20g of water at 100C =msLs=20540=10800cal
So, all the steam will not be converted into water.
Let ms amount of stream is converted into this process.
msLS=miceLice+micesΔθ
ms540=3080+301(1000)ms=2400+3000540ms=5400540=10g
So only 10 g steam is converted into 100C water and whole 30 g of ice is converted to 100C water.
So at the final point, we have 10 g steam and 40 g water at 100C.
Hence option 'A' is correct.

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