What is the heat input needed to raise the temperature of 2 moles of helium gas from 0^@C to 100^@C (a) at constant volume, (b) at constant pressure? (c) what is the work done by the gas in part (b)? Give your answer in terms of R.
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(a) Δu = n*cv Δt = 2* (3r/2 ) * Δt
[Δt = 100]
= 300r
constant volume work done is zero thus according to first law of thermodynamics
Δu = q-w => Δu = q
Δu = 300r
(b) q = n*cp Δt = 2* (5r/2 ) * Δt
[Δt = 100]
= 500r
(c) q = 500r
Δu = 300r
according to first law of thermodynamics
Δu = q-w
300r = 500r - w
w = 200r
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