Question

Two liquids A and B at temperature 75 degree Celsius and 15 degree Celsius respectively. The mothers are in the ratio 2 is to 3 and their specific heats are in the ratio 3 is to 4 then the resultant temperature of mixture of two liquids A and B are mixed ​

Answer 1

The resultant temperature of mixture of two liquids A and B are mixed ​is T = 125°

Explanation:

Heat lost by one liquid = Heat gained by another liquid

m 1  .C 1  .ΔT 1  = m2  .C 2 .ΔT 2

m1  .C 1  (T − 75) = m 2  .C 2 ( 150 − T)

m1 / m2 x c1 / c2 = 150 − T / T - 75

2/3 . 3/4 =  150 − T / T - 75

1/2 =  150 − T / T - 75

T - 75 = 300 - 2T

3T = 375

T = 125°

Thus the resultant temperature of mixture of two liquids A and B are mixed ​is T = 125°

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