Mixtures and Alligation Questions

Multiple choice
  1. $28\%$
  2. $45\%$
  3. $40\%$
  4. $60\%$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Pehal's solution initially contains 20 g of sugar and 80 g of water, then she adds 20 g of sugar, giving 40 g sugar in 120 g solution. Ishaan's solution contains 50 g sugar, and evaporating 20 g water leaves 50 g sugar in 80 g solution. The mixture has 90 g sugar in 200 g total solution, so its concentration is 45%.

Multiple choice
  1. 10%

  2. 5%

  3. 26.08%

  4. None of these

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

Vapour density (VD) = M_mix / 2. M_mix = 80. Let alpha be the degree of dissociation of N2O4. M_mix = M_initial / (1 + alpha). 80 = 92 / (1 + alpha), so 1 + alpha = 92/80 = 1.15, alpha = 0.15. The mixture contains 1 mole of N2O4 and 2*alpha moles of NO2. Mole fraction of NO2 = 0.3 / 1.15 = 26.08%.

Multiple choice
  1. $0.33$ $M$
  2. $0.39$ $M$
  3. $0.5777$ $M$
  4. $0.7777$ $M$
  5. None of the above

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

Total moles = (3 * 0.5) + (9 * 0.2777) = 1.5 + 2.4993 = 3.9993. Total volume = 3 + 9 = 12 L. Concentration = 3.9993 / 12 = 0.333275 M, which is approximately 0.33 M.

Multiple choice
  1. $31.6$
  2. $21.3$
  3. $19.2$
  4. $17.8$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the metals be M1 and M2. The mixture contains M1CO3 and M2CO3. Using the mass loss on heating (which is CO2), one can determine the molar masses and then the weight percentages of the metals.