When 'q' amount of heat is given to one mole of a monoatomic gas, it does q/2 amount of work on surroundings. Find the heat
capacity of the system in JK^-1 mol^-1
Take R= 8.314 J/K/mol].
Answers
When q amount of heat is given to one mole of monoatomic gas. it does q/2 amount of work on surroundings.
To find : The molar heat capacity for the process.
solution : here heat given to system = q
work done on the surroundings, W = q/2
using first law of thermodynamics,
q = W + ∆U
⇒∆U = q - q/2 = q/2
for monoatomic gas,
∆U = 3/2 nR∆T
and q = nCp∆T
now, q/2 = 3/2 nR∆T
⇒nCp∆T/2 = 3/2 nR∆T
⇒Cp = 3R
Therefore the molar heat capacity for the process is 3R.
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