Three liquids are at temperatures of 6.0°C,22°C, and 34°C, respectively. Equal m

Question

Three liquids are at temperatures of 6.0°C,22°C, and 34°C, respectively. Equal masses of the first twoliquids are mixed, and the equilibrium temperature is 13°C.Equal masses of the second and third are then mixed, and theequilibrium temperature is 27°C. Find the equilibriumtemperature when equal masses of the first and third are mixed. (inC)
Three liquids are at temperatures of 6.0°C,22°C, and 34°C, respectively. Equal masses of the first twoliquids are mixed, and the equilibrium temperature is 13°C.Equal masses of the second and third are then mixed, and theequilibrium temperature is 27°C. Find the equilibriumtemperature when equal masses of the first and third are mixed. (inC)

Explanation / Answer

let specific heat of the first,second and third liquid be s1,s2 ands3 respectively. let m kg of the first liquid is mixed with m kg of the secondliquid m*s1*(13-6)=m*s2*(22-13) s1*7=9*s2 s1=(9/7)*s2 let m1 kg of the second liquid is mixed with m1 kg of the third m1*s2*(27-22)=m1*s3*(34-27) s2*5=s3*7 s3=(5/7)*s2 let the equilibrium temperature the first and the third liquid ismixed is T. let m2 kg of the first liquid is mixed with m2 kg of the third m2*s1*(T-6)=m2*s3*(34-T) s1*(T-6)=s3*(34-T) (9/7)*s2*(T-6)=(5/7)*s2*(34-T) 9*T-54=170-5*T 14*T=224 T=16 the equilibrium temperature=16 degree C

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