Mixtures and Alligation Questions

Multiple choice
  1. $1/2$
  2. $2$
  3. $1.5$
  4. $1$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total moles of cations: Na+ (2*0.1*2 = 0.4) + Ca2+ (1*0.2*1 = 0.2) = 0.6. Total moles of anions: SO4 2- (2*0.1*1 = 0.2) + Cl- (3*0.1*1 + 1*0.2*2 = 0.7) = 0.9. This calculation depends on the specific dissociation. Given the options, 1 is the most plausible ratio for these concentrations.

Multiple choice
  1. 250mm, 550mm

  2. 350mm, 450mm

  3. 350mm, 700mm

  4. 550mm, 250mm

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Raoult's Law: P_total = x_A * P_A + x_B * P_B. 1:1 ratio: 0.5P_X + 0.5P_Y = 400 => P_X + P_Y = 800. 1:2 ratio: (1/3)P_X + (2/3)P_Y = 350 => P_X + 2P_Y = 1050. Subtracting equations: P_Y = 250. Then P_X = 550.

Multiple choice
  1. 17.675 mm Hg

  2. 15.750 mm Hg

  3. 16.500 mm Hg

  4. 17.325 mm Hg

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Relative lowering of vapour pressure = (P0 - Ps) / P0 = n_solute / (n_solute + n_solvent). Moles of glucose = 18/180 = 0.1. Moles of water = 178.2/18 = 9.9. (17.5 - Ps) / 17.5 = 0.1 / (0.1 + 9.9) = 0.1 / 10 = 0.01. 17.5 - Ps = 0.175. Ps = 17.325.

Multiple choice
  1. 0.75

  2. 0.5

  3. 0.25

  4. cannot be calculated

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total pressure = 1 atm = 760 mm Hg. Partial pressures of A and B are 200 and 180. Pressure of C = 760 - (200 + 180) = 760 - 380 = 380 mm Hg. Mole fraction of C = P_C / P_total = 380 / 760 = 0.5.

Multiple choice
  1. there is a negative deviation from Raoult's law

  2. there is positive deviation from Raoult's law

  3. there is no deviation from Rault's law

  4. cannot be decided

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Mole fractions: X = 1/3, Y = 2/3. Raoult's law expected pressure = (1/3)*150 + (2/3)*300 = 50 + 200 = 250 torr. Actual pressure is 240 torr. Since 240 < 250, there is a negative deviation.

Multiple choice
  1. $10.55$
  2. $20.11$
  3. $30.84$
  4. $61.68$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For immiscible liquids, the vapour contains amounts proportional to their partial pressures. Using molecular masses 18 for water and 123 for nitrobenzene, the nitrobenzene mass percentage is 3.6 × 123 divided by (97.7 × 18 + 3.6 × 123), multiplied by 100, which is about 20.11%.

Multiple choice
  1. 1.62 atm

  2. 6.12 atm

  3. 1.26 atm

  4. 2.16 atm

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Osmotic pressure is a colligative property dependent on concentration. Using the formula (P1V1 + P2V2) / (V1 + V2) = P_resultant: (1.5 * 1 + 2.5 * 2) / (1 + 2) = (1.5 + 5) / 3 = 6.5 / 3 = 2.166... atm.