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A large tank of water at a constant temp...

A large tank of water at a constant temperature of `90^(0)C` is connected to a small vessel containing 10kg water at `10^(0)C`, through a metal rod of length 2m, area of cross-section `0.5m^(2)` and thermal conductivity of 20 units. If the time taken for the temperature of the water in small vessel at `30^(0)C` is `t=Nxx4200log(4//3)`, then find the value of N. (Given, specific heat of water `=4200" J kg"^(-1)""^(0)C^(-1)`)

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