At 273 K the B and C virial coefficients for argon are -21.7 cm3 /mol and 1200 cm6 /mol2 , respectively. Calculate the compression factor if you have 50 moles of gas in a 27 liter tank.
Added by Andrea C.
Step 1
First, we need to find the molar volume (V_m) of the gas. We can do this by dividing the total volume (V) by the number of moles (n): V_m = V / n Show more…
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Sri K.
At $273 \mathrm{K}$ measurements on argon gave $B=-21.7 \mathrm{cm}^{3} \mathrm{mol}^{-1}$ and $C=1200 \mathrm{cm}^{6} \mathrm{mol}^{-2},$ where $B$ and $C$ are the second and third virial coefficients in the expansion of $Z$ in powers of $1 / V_{m^{*}}$ Assuming that the perfect gas law holds sufficiently well for the estimation of the molar volume, calculate the compression factor of argon at 100 at $\mathrm{m}$ and $273 \mathrm{K}$. From your result, estimate the molar volume of argon under these conditions.
The Properties of Gases
Real gases
At 300 K and 20 atm, the compression factor of a gas is 0.86. Calculate (i) the volume occupied by 8.2 mmol of the gas molecules under these conditions and (ii) an approximate value of the second virial coefficient B at 300 K.
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