Question

# $2000\mathrm{J}$ of heat is required to melt of $40\mathrm{kg}$substance, then the specific latent heat of a substance is _____.

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Solution

## Specific Heat: The specific heat of a substance is the amount of heat that is required to raise the temperature of a unit mass of the substance by $1°\mathrm{C}$. Now, if we measure the heat in “joules” and mass in “kilograms”, then the definition of specific heat becomes “The specific heat of a substance is the amount of heat in joules required to raise the temperature of 1 kilogram of the substance by $1°\mathrm{C}$”.if 2000 J of heat is required to melt 40 Kg of substance, then the specific latent heat of a substance is $\frac{\mathrm{Heat}\left(\mathrm{joule}\right)}{\mathrm{Mass}\mathrm{of}\mathrm{substance}\left(\mathrm{Kilogram}\right)}=\frac{2000J}{40Kg}=50\frac{J}{kg}$$2000\mathrm{J}$ of heat is required to melt of $40\mathrm{kg}$substance, then the specific latent heat of a substance is $50\mathrm{J}{\mathrm{kg}}^{-1}$

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