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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`, cofficient of cubical expansion, `gamma=9xx10^-5//^@C`, density `rho=9000kg//m^3`, atmospheric pressure `=10^5N//m^2`)

Text Solution

Verified by Experts

The correct Answer is:
A
(a) From `DeltaQ=msDeltaT`
`Delta=(DeltaQ)/(ms)=(20000)/(1xx400)=50^@C`
(b) `DeltaV=V_gammaDeltaT=(1/9000)(9xx10^-5)(50)`
`=5xx10^-7m^3`
`:.` `W=p_0*DeltaV=(10^5)(5xx10^-7)=0.05J`
(c) `DeltaU=DeltaQ-W=(20000-0.05)J`
`=19999.95J`
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