Question

6. An ideal
monatomic gas initially at 26.85 K and 3.250 bar is added to a
1.750 L vessel. Assuming that the system consists of the ideal gas
alone, calculate the values of Vf, Tf, Pf, w, q, ΔU, and ΔH for
each of the following processes. Construct a table for each part
listing the initial and final value of V, T, and P and the value of
w, q, ΔU, and ΔH.

Answer #1

**Confusion about the
question.................**

**How the process is being carried out ?? This is the case
of free expansion of ideal gas....**

PV = RT

V = RT/P = (1 mol) (8.314 x 10^{-2} L bar K^{-1}
mol^{-1} x 26.85 K)/3.25 bar = 0.69 L (round off)

Pf = RT/Vf = (1 mol) (8.314 x 10^{-2} L bar
K^{-1} mol^{-1} x 26.85 K)/1.75 L = 1.28 bar

This is a case of free expansion of ideal gas against zero pressure. This is usually carried out at constant temperature (isothermally). = 0, Tf=Ti

So, w = 0, Q= = 0,

= + = = 0 [ since no change in external pressure, no work involved]

= 0

Vf Pf Tf w Q

1.75L 1.28 bar 26.85K 0 0 0 0

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