Heat And Thermodynamics

A cylinder of mass \(1 \mathrm{~kg}\) is given heat of \(20000 \mathrm{~J}\) at atmospheric pressure. If initially temperature of cylinder is \(20^{\circ} \mathrm{C}\), find

(A) The final temperature of the cylinder;

(B) The work done by the cylinder;

(C) The change in internal energy of the cylinder.

Given :

The specific heat of cylinder

\(=400 \mathrm{~J} \mathrm{~kg}^{-1 \circ} \mathrm{C}^{-1}\)

Coefficient of volume expansion

\(=9 \times 10^{-5}{ }^{\circ} \mathrm{C}^{-1} \text {; }\)

Atmospheric pressure \(=10^{5} \mathrm{~N} / \mathrm{m}^{2}\) Density of cylinder \(=9000 \mathrm{~kg} / \mathrm{m}^{3}\) )