Steam at 1000C is added slowly to 1400 gm of water at 160C until the temperature of water is raised to 800. The mass of steam required to do this is (LV=540cal/gm)
A
160 gm
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B
125 mg
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C
250 gm
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D
320 gm
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Solution
The correct option is B 160 gm Let the mass of steam be x. Heat lost by steam to come to 800C from 1000C is Qlost=x×540+x×1×(100−80)=560x .....(1) Heat gained by water Qgained=1400×1×(80−16)=1400×64 ....(2) Equating (1) and (2) 560x=1400×64 ∴x=140×6456=160gms