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Question

# Three liquids with masses m1,m2,m3 are thoroughly mixed. If their specific heats are c1,c2,c3 and their temperatures are T1,T2,T3 respectively, then the temperature of the mixture is:

A
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C
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D
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Solution

## The correct option is B Given, T1,T2 and T3 are the temperature of liquids with mass m1,m2 and m3 with specific heats c1,c2 and c3 Let the final temperature be T∘C. Total heat supplied by the three liquids in coming down to 0∘C is m1c1T1+m2c2T2+m3c3T3 ......(i) Total heat used by three liquids in raising temperature from 0∘CtoT∘C is m1c1T+m2c2T+m3c3T .....(ii) By equating (i) and (ii) we get, m1c1+m2c2+m3c3)T=m1c1T1+m2c2T2+m3c3T3 or, T=m1c1T1+m2c2T2+m3c3T3m1c1+m2c2+m3c3

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