A metal of mass at constant atmospheric pressure and initial temperature is given heat

PHYSICS · Multi-part · A Level · Physics · Engineering physics · Engineering physics

Problem

A metal of mass 1 kg1\,\mathrm{kg} at constant atmospheric pressure and initial temperature 20∘C20^\circ\mathrm{C} is given heat 20000 J20000\,\mathrm{J}. Find the following. Given: specific heat capacity cp=400 J kg−1 ∘C−1c_p=400\,\mathrm{J\,kg^{-1}\,^\circ C^{-1}}, coefficient of cubical expansion γ=9×10−5 ∘C−1\gamma=9\times10^{-5}\,^\circ\mathrm{C}^{-1}, density ρ=9000 kg m−3\rho=9000\,\mathrm{kg\,m^{-3}}, and atmospheric pressure P=105 N m−2P=10^5\,\mathrm{N\,m^{-2}}. (a) Change in temperature. (b) Work done. (c) Change in internal energy.

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