The third viral coefficient for real gas is `2 xx 10^(-2) ("L mole"^(-1))`. The molar volume of gas at `27^@`C and 5 atm Pressure may be-

Options

A. 5.12 L
B. 5.00 L
C. 5.18 L
D. 5.06 L

Answer

D

Explanation

Viral expansion is
`Z = 1 + B/V_(infty) + c/V_(m^(2)) +`……
`C = b^(2) = 2 xx 10^(-2) ("L moles"^(-1))^(2)`
`b = sqrt(2) xx 10^(-1) = 1.44 = 0.1414 "L mole"^(-1)`
`V_("ideal") = (nRT)/P = (0.082 xx 300)/5 24.6/5`
`V_("real") = V_("ideal") + nb`
`= 4.92 + 1(0.1414)`
`= 4.9200`
`=0.1414 + 5.0614 = 5.06` L