QUESTION 2.40
Determine the amount of CaCl2 (i = 2.47) dissolved in 2.5 L of water such that its osmotic pressure is 0.75 atm at 27∘C.
According to van't Hoff equation
Osmotic pressure (π)=iCRT=inBRTV
i=2.47;V=2.5L;R=0.0821 L atm K−1 mol−1
T=27+273=300K;π=0.75 atm
nB=πViRT=(0.75 atm)×(2.5 L)(2.47)×(0.0821 L atm K−1 mol−1)×(300 K)=0.0308 mol
Amount of CaCl2 dissolved =nB×MB
=(0.0.08 mol)×(111 g mol−1)
=3.42g