Dalton S Atomic Theory

Step 1: Understanding Dalton’s Law of Partial Pressures
Dalton’s Law states that the partial pressure of a gas is proportional to its mole fraction in the mixture. The partial pressure is given by: Where: is the partial pressure of the gas, is the mole fraction of the gas, is the total pressure.
Step 2: Calculate the mole fraction of each gas
We are given the mass percentages of the gases and their molar masses:
Mass percentage of nitrogen ( ) = 70.0% Mass percentage of oxygen ( ) = 27.0% Mass percentage of argon ( ) = 3.0%
The moles of each gas are calculated by dividing the mass by the molar mass of each gas: Now, the total moles of gases:
Step 3: Calculate the partial pressures
The mole fraction of each gas is given by: Now, calculate the partial pressures:
Step 4: Calculate the ratios
(i) The ratio of the partial pressures of nitrogen to oxygen is: (ii) The ratio of the partial pressures of oxygen to argon is:
Thus, the correct answer is (4) 2.96, 11.2.