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                                    The temperature of equal masses of three different liquids A,B and C are `12^@C, 19^@C and 28^@C` respectively. The temperature when A and B are mixed is `16^@C` and when B and C are mixed it is `23^@C`. What should be the temperature when A and C are mixed? | 
                            
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Answer» Let specific heat of liquid A, B and C are `s_A`,`s_B` and `s_C` resprectively. When A and B are mixed, `ms_B(19-16)=ms_A(16-12)` `3s_B=4s_Aimpliess_A=(3)/(4)s_B` When B and C are mixed, `ms_C(28-23)=ms_B(23-19)` `5s_c=4s_Bimpliess_C=(4)/(5)s_B` When A and C are mixed, let equilibrium temperature be `theta` `ms_C(28-theta)=ms_A(theta-12)` `(4)/(5)s_B(28-theta)=(3)/(4)s_B(theta-12)` `16(28-theta)=15(theta-12)` `448-16theta=15theta-180` `31theta=628` `theta=(628)/(31)=20.3^@C`  | 
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