Mixtures and Alligation Questions

Multiple choice
  1. 111 mm

  2. 222 mm

  3. 333 mm

  4. 444 mm

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

At constant temperature, each gas contributes pressure proportional to its volume-pressure product divided by the final volume. The final pressure is (200 x 720 + 400 x 750)/1000 = 444 mm.

Multiple choice
  1. 5.4 atm

  2. 4.2 atm

  3. 4.87 atm

  4. 5 atm

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

Initial gas volume = 3L - 0.5L = 2.5L. Initial pressure of gas = 3 - 0.2 = 2.8 atm. New volume = 2L - 0.5L = 1.5L. Using P1V1 = P2V2: 2.8 * 2.5 = P2 * 1.5. P2 = 7 / 1.5 = 4.66. Total pressure = 4.66 + 0.2 = 4.86 atm.

Multiple choice
  1. Equal to that of ${\text{S}}{{\text{O}}_{\text{2}}}$
  2. Four times to that of ${\text{S}}{{\text{O}}_{\text{2}}}$
  3. Eight times to that of ${\text{S}}{{\text{O}}_{\text{2}}}$
  4. Two times to that of ${\text{S}}{{\text{O}}_{\text{2}}}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Partial pressure is proportional to the number of moles. Moles of H2 = 8/2 = 4. Moles of SO2 = 32/64 = 0.5. Ratio of moles = 4 / 0.5 = 8. Thus, the partial pressure of H2 is 8 times that of SO2.

Multiple choice
  1. $P(O_2)=0.785$ $P(N_2)$
  2. $P(O_2)=8.75$ $P(N_2)$
  3. $P(O_2)=11.4$ $P(N_2)$
  4. $P(O_2)=0.875$ $P(N_2)$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For the masses of oxygen and nitrogen to be equal, the number of moles must be inversely proportional to their molar masses. Since molar mass of O2 is 32 and N2 is 28, the ratio of moles n(O2)/n(N2) = 28/32 = 0.875. By Dalton's Law, the ratio of partial pressures equals the ratio of moles in a mixture.

Multiple choice
  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

  2. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

  3. Assertion is correct but Reason is incorrect

  4. Assertion is incorrect but Reason is correct

Reveal answer Fill a bubble to check yourself
D Correct answer
Multiple choice
  1. 1.4 $atm$
  2. 7 $atm$
  3. 0.7 $atm$
  4. 14 $atm$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Equal masses mean equal moles of SO2 and O2. Molar mass of SO2 is 64 and O2 is 32. Let mass be m. Moles of SO2 = m/64, moles of O2 = m/32. Mole fraction of SO2 = (m/64) / (m/64 + m/32) = (1/64) / (3/64) = 1/3. Partial pressure = mole fraction * total pressure = (1/3) * 2.1 = 0.7 atm.

Multiple choice
  1. $1.9$ $atm$
  2. $0.19$ $atm$
  3. $2.4$ $atm$
  4. $0.019$ $atm$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Dalton's Law of Partial Pressures states that the total pressure is the sum of individual partial pressures. P(total) = P(H2) + P(N2) + P(CO2). 9.8 = 3.7 + 4.2 + P(CO2) => 9.8 = 7.9 + P(CO2) => P(CO2) = 1.9 atm.

Multiple choice
  1. $180$ $mm$
  2. $360$ $mm$
  3. $540$ $mm$
  4. $720$ $mm$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Calculate the moles of each gas: N2 (56/28 = 2 mol), CO2 (44/44 = 1 mol), and CH4 (16/16 = 1 mol). The total moles are 4. The mole fraction of CH4 is 1/4, so its partial pressure is 1/4 of the total pressure (720 mm Hg), which is 180 mm Hg.