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A gaseous mixture was prepared by taking equal mole of CO and N2. If the total
pressure of the mixture was found 1 atmosphere, the partial pressure of the nitrogen (N2)
in the mixture is
  • a)
    1 atm
  • b)
    0.5 atm
  • c)
    0.8 atm
  • d)
    0.9 atm
Correct answer is option 'B'. Can you explain this answer?
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Partial Pressure Calculation for a Gaseous Mixture

To find the partial pressure of nitrogen (N2) in the gaseous mixture, we need to consider the mole fractions of the gases involved.

1. Mole Fraction Calculation:
Since equal moles of CO and N2 are taken, the mole fraction of each gas can be calculated as follows:

Mole fraction of CO = (moles of CO) / (total moles in the mixture)
Mole fraction of N2 = (moles of N2) / (total moles in the mixture)

Since equal moles of CO and N2 are taken, the mole fraction of CO and N2 will be the same.

2. Partial Pressure Calculation:
According to Dalton's law of partial pressures, the total pressure of a mixture of non-reacting gases is the sum of the partial pressures of each gas in the mixture. Mathematically, it can be represented as:

Total Pressure = Partial Pressure of CO + Partial Pressure of N2

In this case, the total pressure is given as 1 atmosphere. Since equal moles of CO and N2 are taken, the partial pressure of CO will be the same as the partial pressure of N2.

Therefore, the equation can be simplified as:

1 atm = Partial Pressure of CO + Partial Pressure of CO

2 * Partial Pressure of CO = 1 atm
Partial Pressure of CO = 1 atm / 2

Since the partial pressure of CO and N2 are the same, the partial pressure of N2 can be calculated as:

Partial Pressure of N2 = 1 atm / 2 = 0.5 atm

Hence, the correct answer is option 'B' (0.5 atm), which represents the partial pressure of nitrogen (N2) in the gaseous mixture.
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A gaseous mixture was prepared by taking equal mole of CO and N2. If the totalpressure of the mixture was found 1 atmosphere, the partial pressure of the nitrogen (N2)in the mixture isa)1 atmb)0.5 atmc)0.8 atmd)0.9 atmCorrect answer is option 'B'. Can you explain this answer?
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