Suppose 201 moles of a monatomic ideal gas undergoes an isothermal expansion as

Question

Suppose 201 moles of a monatomic ideal gas undergoes an isothermal expansion as shown in the figure. (The horizontal axis is marked in increments on 25 m3.)

(a) What is the temperature at the beginning and at the end of this process?

Beginning_______K
End________K

(b) How much work is done by the gas during this expansion? _____kJ

Format Answer should look like something like this
(ex: 21300K) (ex:27700kJ) Suppose 201 moles of a monatomic ideal gas undergoes an isothermal expansion as shown in the figure. (The horizontal axis is marked in increments on 25 m3.) 400 300 200 Isotherm 100 Volume, V (a) What is the temperature at the beginning and at the end of this process? 40000 beginning Your response differs from the correct answer by more than 100%. K end (b) How much work is done by the gas during this expansion?

Explanation / Answer

T1=PV/nR

= 400x10^3 x 25 / (201 x 8.314)

= 5984.03 K

T2 = 100 x 10^3x100 / 201 x 8.314

=5984.03 K

Wd = nRT ln (vf/vi)

= 201 x8.314x 5984.03 ln (100/25)

= 13862938.49 J = 13862.94 kJ

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