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A metal of mass 1 kg at constant atmosph...

A metal of mass 1 kg at constant atmospheric pressure and at initial temperature `20^@C` is given a heat of 20000J. Find the following
(a) change in temperature,
(b) work done and
(c) change in internal energy.
(Given, specific heat `=400J//kg-^@C`, coefficient of cubical expansion, `gamma=9xx10^-5//^@C`, density `rho=9000kg//m^3`, atmospheric pressure `=10^5N//m^2`)

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To solve the given problem step by step, we will find the change in temperature, work done, and change in internal energy for the metal. ### Given Data: - Mass of metal, \( m = 1 \, \text{kg} \) - Initial temperature, \( T_i = 20^\circ C \) - Heat supplied, \( Q = 20000 \, \text{J} \) - Specific heat, \( c = 400 \, \text{J/(kg} \cdot ^\circ C) \) - Coefficient of cubical expansion, \( \gamma = 9 \times 10^{-5} \, ^\circ C^{-1} \) ...
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