Mixtures and Alligation Questions

Multiple choice
  1. $7.2\ L$
  2. $3.6\ L$
  3. $5.8\ L$
  4. $2.4\ L$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Degree of dissociation alpha is proportional to 1/sqrt(C). To triple alpha, the concentration C must decrease by a factor of 9. Initial volume V1 = 900 ml. New volume V2 = 9 * 900 = 8100 ml. Water to add = 8100 - 900 = 7200 ml = 7.2 L.

Multiple choice
  1. $750$
  2. $7.5$
  3. $0.075$
  4. $0.75$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

6.3g of oxalic acid (mol wt 126) is 0.05 moles. Since it is a dibasic acid, equivalent weight = 63. Equivalents = 6.3 / 63 = 0.1 eq. Normality = 0.1 eq / 0.25 L = 0.4 N. To make it 0.1 N, V2 = N1V1 / N2 = (0.4 * 0.25) / 0.1 = 1.0 L. Water to add = 1.0 - 0.25 = 0.75 L.

Multiple choice
  1. $\dfrac{19 R}{6}$
  2. $\dfrac{6 R}{19}$
  3. $\dfrac{13 R}{6}$
  4. $\dfrac{6 R}{13}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Mass ratio N2:He = 14:1. Molar mass N2 = 28, He = 4. Moles ratio = (14/28) : (1/4) = 0.5 : 0.25 = 2:1. Mixture Cp = (n1*Cp1 + n2*Cp2) / (n1+n2). Cp(N2) = 7R/2, Cp(He) = 5R/2. Mixture Cp = (2 * 7R/2 + 1 * 5R/2) / 3 = (7R + 2.5R) / 3 = 9.5R / 3 = 19R/6.

Multiple choice
  1. $4\ p$
  2. $2\ p$
  3. $p/2$
  4. $p/4$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

According to Dalton's Law of Partial Pressures, when two gases are mixed in the same volume at the same temperature, the total pressure is the sum of the partial pressures. Since each gas initially occupied the same volume V at pressure p, and now they occupy the same volume V together, each exerts pressure p. Total pressure = p + p = 2p.

Multiple choice
  1. $18$
  2. $20$
  3. $24$
  4. $36$
  5. $42$
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let x be the amount of 2% solution. Then 60-x is the amount of 12% solution. 0.02x + 0.12(60-x) = 0.05 * 60. 0.02x + 7.2 - 0.12x = 3. 4.2 = 0.1x. x = 42.

Multiple choice
  1. 5$\mathrm { L }$
  2. 6.5$\mathrm { L }$
  3. 7.25$\mathrm { L }$
  4. 8$L$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Initial: 85L, ratio 27:7. Milk = (27/34) * 85 = 67.5, Water = (7/34) * 85 = 17.5. Let x be water added. (17.5 + x) / 67.5 = 1/3. 3 * (17.5 + x) = 67.5. 52.5 + 3x = 67.5. 3x = 15. x = 5.