Multiple choice

${\text{8}}\,{\text{gm}}$ of ${{\text{H}}{\text{2}}}$ and ${\text{32}}\,{\text{gm}}$ of ${\text{S}}{{\text{O}}{\text{2}}}$ are present in a gaseous mixture at ${\text{NTP}}$. The partial pressure of ${{\text{H}}_{\text{2}}}$ is

  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 ${\text{S}}{{\text{O}}_{\text{2}}}$
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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.

AI explanation

The number of moles of H2 is calculated by dividing 8 g by its molar mass of 2 g/mol, giving 4 moles, while the number of moles of SO2 is calculated by dividing 32 g by its molar mass of 64 g/mol, resulting in 0.5 moles. According to Dalton's law of partial pressures, the partial pressure of a gas in a mixture is directly proportional to its mole fraction. The ratio of the partial pressure of H2 to SO2 is therefore equal to the ratio of their moles, which is 4 divided by 0.5. This makes the partial pressure of H2 eight times that of SO2.

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