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Why is Joule's constant called the mecha...

Why is Joule's constant called the mechanical equivalent of heat ?

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Let n number of little droplets of water of surface tension S dyn. Cm^-1 , all of the same radius r cm, combine to form a single drop of radius R cm. J is joule's mechanical equivalent of heat. While using CGS system of units answer the following questions. i. The energy released is

Find out the amount of work done to convert 100 g ice at 0^(@)C to water at 100^(@)C . (Latent heat of fusion of ice = 80 cal cdot g^(-1) , mechanical equivalent of heat = 4.2 J cdot cal^(-1)) .