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The partial pressure of a gas X is given by two bar, where is the total pressure of the gaseous mixture in a cylinder is 10 bar. What is the mole fraction of the gas X in that mixture?
  • a)
    0.5
  • b)
    2
  • c)
    0.2
  • d)
    5
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The partial pressure of a gas X is given by two bar, where is the tota...
The partial pressure of a gas equals the mole fraction of the gas in the gaseous mixture x the total pressure that is exerted by the gaseous mixture. So here 2 bar = molar fraction x 10 bar, we get that the mole fraction is 2/10 = 0.2.
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The partial pressure of a gas X is given by two bar, where is the tota...
To find the mole fraction of gas X in the mixture, we need to calculate the ratio of the partial pressure of gas X to the total pressure of the mixture.

Partial pressure is the pressure exerted by an individual gas in a mixture, assuming that gas is alone in the container.

Let's solve the problem step by step:

Step 1: Given Information
The partial pressure of gas X is 2 bar.
The total pressure of the gaseous mixture is 10 bar.

Step 2: Calculate the Mole Fraction
The mole fraction of gas X can be calculated using the formula:

Mole Fraction of X = Partial Pressure of X / Total Pressure

Substituting the given values:
Mole Fraction of X = 2 bar / 10 bar

Simplifying the expression:
Mole Fraction of X = 1/5

Step 3: Simplify the Mole Fraction
The fraction 1/5 can be simplified further by dividing both the numerator and denominator by the greatest common divisor, which is 1 in this case:

Mole Fraction of X = 1/5 = 0.2

Therefore, the mole fraction of gas X in the mixture is 0.2.

Hence, the correct answer is option C) 0.2.
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The partial pressure of a gas X is given by two bar, where is the total pressure of the gaseous mixture in a cylinder is 10 bar. What is the mole fraction of the gas X in that mixture?a)0.5b)2c)0.2d)5Correct answer is option 'C'. Can you explain this answer?
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