The vander waals constants a and b of a real gas are 3.6L^2 atm mol^(-2) and 0.05L mol^(-1)respectively. If 200g of gas (molecular mass 40) is placed in 10L vessel at 300K, {:("Column-I ","Column-II "),("A) Pressure correction (atm) ","P) 0.25 "),("B) Free space for the molecules to move about(L) ","Q) 0.0125 "),("C) Actual volume of the gas molecules per mole (L) ","R) 0.9 "),("D) Effective volume occupied by total gas molecules (L) ","S) 9.75 "):}

The vander waals constants a and b of a real gas are 3.6L^2 atm mol^(-

1.	The vander waals constants a and b of a real gas are 3.6L^2 atm mol^(-2) and 0.05L mol^(-1)respectively. If 200g of gas (molecular mass 40) is placed in 10L vessel at 300K, {:("Column-I ","Column-II "),("A) Pressure correction (atm) ","P) 0.25 "),("B) Free space for the molecules to move about(L) ","Q) 0.0125 "),("C) Actual volume of the gas molecules per mole (L) ","R) 0.9 "),("D) Effective volume occupied by total gas molecules (L) ","S) 9.75 "):}
Answer» Solution :a) PRESSURE correction = P `= (an^2)/(V^2) = (3.6 XX (200/40)^2)/((10)^2) = 0.9`. b) Free space = `V_i = V = nb = 10 - 10 - 0.25 = 9.75` c) Actual volume of gas MOLECULES = `5 xx V_m` `b = 4 V_m implies V_m = b//4 = (0.05)/(4) = 0.0125//"mole"` d) effective volume = `nb = 5 xx 0.05 = 0.25`.