1
Question
Which of the following options are correct regarding : q, w and △U for the reversible isothermal expansion of one mole of an ideal gas at 27oC from a volume of 10 dm3 to a volume of 20 dm3?
Which of the following options are correct regarding : q, w and △U for the reversible isothermal expansion of one mole of an ideal gas at 27oC from a volume of 10 dm3 to a volume of 20 dm3?
Open in App
Solution
The correct options are
A △U=0
B q=−w=1729J
T=27oC=27+273=300 K
Since the process is reversible isothermal,
△U=0
Work done is given as:
w=−2.303 nRT log(V2V1)
Putting all the values we get:
w=−(2.303×1×8.314×300) log (20/10)=−1729 J
From the first law, △U=q+w
Since, △U=0,q=−w=1729 J
A △U=0
B q=−w=1729J
T=27oC=27+273=300 K
Since the process is reversible isothermal,
△U=0
Work done is given as:
w=−2.303 nRT log(V2V1)
Putting all the values we get:
w=−(2.303×1×8.314×300) log (20/10)=−1729 J
From the first law, △U=q+w
Since, △U=0,q=−w=1729 J
Suggest Corrections
0
Similar questions
View More
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
