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Question: Two liquids A and B are at temperatures of 75<sup>0</sup>C and 15<sup>0</sup>C. Their masses are in ...

Two liquids A and B are at temperatures of 750C and 150C. Their masses are in the ratio of 2 : 3 and their specific heats in the ratio 3 : 4. What is the resulting temperature?

A

900C

B

700C

C

350C

D

600C

Answer

350C

Explanation

Solution

Tmix = m1 s1 T1+m2 s2 T2 m1 s1+m2 s2\frac { \mathrm { m } _ { 1 } \mathrm {~s} _ { 1 } \mathrm {~T} _ { 1 } + \mathrm { m } _ { 2 } \mathrm {~s} _ { 2 } \mathrm {~T} _ { 2 } } { \mathrm {~m} _ { 1 } \mathrm {~s} _ { 1 } + \mathrm { m } _ { 2 } \mathrm {~s} _ { 2 } }