Mixtures and Alligation Questions

Multiple choice
  1. $1:2$
  2. $4:1$
  3. $8:1$
  4. $1:4$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

According to Graham's Law of Diffusion, the rate of diffusion is inversely proportional to the square root of the molar mass. For H2 (mass 2) and O2 (mass 32), the ratio of rates is sqrt(32/2) = 4. With a 2:1 volume ratio, the diffusion ratio is (2 * 4) : (1 * 1) = 8:1.

Multiple choice
  1. $4:1$
  2. $1:4$
  3. $1:2$
  4. $2:1$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Formic acid (HCOOH) + H2SO4 -> CO + H2O. Oxalic acid (H2C2O4) + H2SO4 -> CO + CO2 + H2O. KOH absorbs CO2. Let x be moles of formic and y be moles of oxalic. CO2 produced = y. Total gas = x + 2y. Volume decrease = y. Given y / (x + 2y) = 1/6. 6y = x + 2y, so x = 4y. Ratio x:y = 4:1.

Multiple choice
  1. $n_{N_2} : n_{CO} : : 1 : 2$
  2. $n_{N_2} : n_{CO} : : 6 : 1$
  3. $n_{CO} : n_{N_2} : : 1 : 2$
  4. $n_{CO} : n_{N_2} : : 2 : 3$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

According to Graham's Law of Effusion, the rate of effusion is inversely proportional to the square root of the molar mass. Rate(N2)/Rate(CO) = (n_N2/n_CO_initial) * sqrt(M_CO/M_N2). Given n_N2/n_CO = 3/2 and M_N2=28, M_CO=28, the ratio is (3/2) * sqrt(28/28) = 3/2. Thus n_CO/n_N2 = 2/3.

Multiple choice
  1. 2 : 1

  2. 4 : 1

  3. 8 : 1

  4. 12 : 1

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

According to Graham's Law of Diffusion, the rate of diffusion is inversely proportional to the square root of the molar mass. For H2 (M=2) and O2 (M=32), the rates are in ratio (3/sqrt(2)) : (1/sqrt(32)). This simplifies to (3/sqrt(2)) : (1/(4*sqrt(2))), which is 12:1.

Multiple choice
  1. 1 : 1 : 1 : 1

  2. 1 : 2 : 2 : 3

  3. 2 : 1 : 3 : 4

  4. 3 : 2 : 2 : 1

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

All flasks have same volume, temperature, and pressure, so they contain the same number of molecules (Avogadro's Law). N2 has 2 atoms, Ne has 1, N2O has 3, SO3 has 4. Ratio is 2:1:3:4.

Multiple choice
  1. 0.4

  2. 0.56

  3. 0.8

  4. 0.75

Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice
  1. $0.8\ g/ml$
  2. $1.0\ g/ml$
  3. $1.25\ g/ml$
  4. $1.33\ g/ml$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Concentration w/v = (w/w) * density. Given 25% (w/v) = 20% (w/w) * density, density = 25 / 20 = 1.25 g/ml.

Multiple choice
  1. $61.63$
  2. $38.37$
  3. $50$
  4. $28.3$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total Kinetic Energy = 3/2 * n * R * T. With T=250K, 3000 = 1.5 * n * 8.314 * 250, so n = 3000 / 3117.75 = 0.9622 moles. Let m be mass of Ne, then (m/20) + ((30-m)/40) = 0.9622. Multiplying by 40: 2m + 30 - m = 38.488, so m = 8.488g. Mass % = (8.488/30)*100 = 28.29%.