Problem

Problem

A metal of mass 1 kg at constant atmospheric pressure and at initial temperature 20∘C20^\circ\text{C} is given a heat of 20000 J. Find the following (JEE 2005) (Given, specific heat = 400 J/kg⋅∘C400 \text{ J/kg}\cdot^\circ\text{C} , coefficient of cubical expansion, γ=9×10−5/∘C\gamma = 9 \times 10^{-5}/^\circ\text{C} , density ρ=9000 kg/m3\rho = 9000 \text{ kg/m}^3 , atmospheric pressure = 105 N/m210^5 \text{ N/m}^2 ) (a) change in temperature, (b) work done and (c) change in internal energy.

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