Test Academy | 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 c₁T₁ + c₂T₂ + c₃T₃/(m₁c₁+m₂c₂+m₃c₃), m₁c₁T₁ + m₂c₂T₂ + m₃c₃T₃/(m₁c₁+m₂c₂+m₃c₃), m₁c₁T₁ + m₂c₂T₂ + m₃c₃T₃/(m₁T₁+m₂T₂+m₃T₃), m₁T₁ + m₂T₂ + m₃T₃/(c₁T₁+c₂T₂+c₃T₃)

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 :

c₁T₁ + c₂T₂ + c₃T₃/(m₁c₁+m₂c₂+m₃c₃)
m₁c₁T₁ + m₂c₂T₂ + m₃c₃T₃/(m₁c₁+m₂c₂+m₃c₃)
m₁c₁T₁ + m₂c₂T₂ + m₃c₃T₃/(m₁T₁+m₂T₂+m₃T₃)
m₁T₁ + m₂T₂ + m₃T₃/(c₁T₁+c₂T₂+c₃T₃)

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