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Consider a system in which 1.00 mol of an ideal monatomic gas is expanded at a c

ID: 1986966 • Letter: C

Question

Consider a system in which 1.00 mol of an ideal monatomic gas is expanded at a constant pressure of 101 kPa from an initial volume of 2.15 L to a final volume of 2.81 L.
(a) Is heat added to or removed from the system during this process?
1added
removed
no change in heat


Explain.
2V1/T1 = V2/T2, volume's getting bigger so temp also has to do the same

Above I have already done. I need help with the following questions.

(b) Find the change in temperature for this process.

(c) Determine the amount of heat added to or removed from the system during this process.

If someone could show me how, not necessarily give me the answer, to do it, i would be grateful.

Explanation / Answer

Volume Increases at constant pressure. Hence Temperature Increases. SO obiously Heat is added to the system. :)
( since PV= nRT )

1l = 10^-3 m3
T = PV/(nR)
T = (P/nR)V

T = ( 101*10^3/1*8.814)* ( 2.81-2.15) *10-3 = 8.018 K 8 K

Now Heat added = nCvT = n * (3/2) * R * 8 = 1 * 1.5 * 8 * 8.314 = 99.99 Joule ( or you can say 100 J)

Hope this will help. :)

Expectin g a life saver.