Properties Of Solids And Liquids Question 87

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

Options:

A) c1T1+c2T2+c3T3m1c1+m2c2+m3c3

B) m1c1T1+m2c2T2+m3c3T3m1c1+m2c2+m3c3

C) m1c1T1+m2c2T2+m3c3T3m1T1+m2T2+m3T3

D) m1T1+m2T2+m3T3c1T1+c2T2+c3T3

Show Answer

Answer:

Correct Answer: B

Solution:

Let the final temperature be T °C.

Total heat supplied by the three liquids in coming down to 0°C = m1c1T1+m2c2T2+m3c3T3 ….. (i)

Total heat used by three liquids in raising temperature from 0oC to ToC = m1c1T+m2c2T+m3c3T …..(ii)

By equating (i) and (ii) we get (m1c1+m2c2+m3c3)T = m1c1T1+m2c2T2+m3c3T3

therefore T=m1c1T1+m2c2T2+m3c3T3m1c1+m2c2+m3c3 .



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