A closed vessel contains 8gm of oxygen and 7gm of nitrogen. The total ...
From Dalton’s law, find pressure of mixture of nitrogen and oxygen
p = p
1+ p
2 ...(i)
when oxygen is absorbed, then for nitrogen let pressure be p
and
...(ii)
From (1) and (2) p = 5 atm.
The correct answer is: 5
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A closed vessel contains 8gm of oxygen and 7gm of nitrogen. The total ...
Given information:
- The vessel contains 8 gm of oxygen and 7 gm of nitrogen.
- The total pressure is 10 atm.
- Oxygen is absorbed by introducing a suitable absorbent.
To find:
The pressure of the remaining gas after the oxygen is absorbed.
Explanation:
1. Calculation of moles:
- To calculate the pressure of the remaining gas, we need to first calculate the number of moles of oxygen and nitrogen present in the vessel.
- The molar mass of oxygen (O2) is 32 g/mol, and the molar mass of nitrogen (N2) is 28 g/mol.
- Using the formula:
Number of moles = Mass of substance / Molar mass
Number of moles of oxygen = 8 gm / 32 g/mol = 0.25 mol
Number of moles of nitrogen = 7 gm / 28 g/mol = 0.25 mol
2. Calculation of partial pressures:
- The partial pressure exerted by a gas is proportional to the number of moles of that gas.
- Since both oxygen and nitrogen have the same number of moles, their partial pressures will be the same.
- Let the partial pressure of oxygen and nitrogen be P.
Partial pressure of oxygen (P) = Partial pressure of nitrogen (P) = P
- According to Dalton's law of partial pressures, the total pressure is the sum of the partial pressures of each gas.
Total pressure = Partial pressure of oxygen + Partial pressure of nitrogen
10 atm = P + P
10 atm = 2P
Therefore, P = 10 atm / 2 = 5 atm
3. Absorption of oxygen:
- The question states that oxygen is absorbed by introducing a suitable absorbent.
- When oxygen is absorbed, the number of moles of oxygen becomes zero.
- Since the partial pressure of oxygen was the same as the partial pressure of nitrogen, the partial pressure of the remaining gas (nitrogen) will still be P.
4. Calculation of remaining pressure:
- The total pressure of the remaining gas (nitrogen) will be the sum of the partial pressures of nitrogen.
Remaining pressure = Partial pressure of nitrogen = P = 5 atm
Therefore, the pressure of the remaining gas after the oxygen is absorbed will be 5 atm.