Concept:Molality, molarity, Henry’s law for gas solubility, and mole fraction in a binary mixture are evaluated.
Chemical Equation / Formula:Molality
=mass of solvent (kg)moles of soluteMolarity
=volume of solution (L)moles of soluteHenry’s law:
P=KHx (solubility
∝ pressure)
Mole fraction of B:
xB=nA+nBnBExplanation:(A) Moles of ethanoic acid
=602.5=0.04167Mass of benzene
=75 g=0.075 kgMolality
=0.0750.04167=0.556 molalThus statement (A) is correct.
(B) Moles of NaOH
=405=0.125Volume
=450 mL=0.45 LMolarity
=0.450.125=0.278 MThus statement (B) is correct.
(C) Cold water has lower temperature. Gas solubility increases as temperature decreases (Henry’s law).
So aquatic species find cold water more comfortable due to higher dissolved oxygen.
Thus statement (C) is correct.
(D) According to Henry’s law, solubility
∝ pressure. So solubility decreases when pressure decreases is false.
Thus statement (D) is incorrect.
(E) Mole fraction of B should be
xB=nA+nBnB, not
nA+nBnA.
Thus statement (E) is incorrect.
Answer:Correct statements: A, B and C only → Option A.