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Answer»

By principle of method of mixtures,Assuming that no heat is lost,Heat lost by hot body = Heat gained by cold body.

Given, Heat lost by hot body is m x c x (t-t3)(because it is at higher temperature)

And Heat gained by cold body is m2 x c2 x (t3-t2)

Now,m x c x (t-t3) = m2 x c2 x (t3-t2)mct - mct3 = m2c2t3 - m2c2t2mct + m2c2t2 = m2c2t3 + mct3t3(m2c2 + mc) = mct + m2c2t2t3 = (mct + m2c2t2)/(mc + m2c2)



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