Chapter 13, Problem 45A

Interpretation Introduction

Interpretation: -Volume of a gas and partial pressure of each gas in a mixture needs to be calculated using variable values given.

Concept Introduction: - For volume calculation first of all one have to calculate number of moles (n ) of each gas.

  

Then, volume is calculated by Ideal gas equation

  

For calculating partial pressure, Dalton’s law of partial pressure is used

  

Answer to Problem 45A

Volume of the mixture is 15.01mL

Partial pressure of gases:

  

Explanation of Solution

There is a relation between volume of gas and molecules of gas present in mixture which is expressed by Avogadro’s law

  

Now,

   { = Avogadro Number}

  

After calculating number of moles, volume is calculated.

  

Putting the values,

  

Also,

  

Or,

  

Now,

  

Therefore,

  

Volume of mixture of gases will be:

  

Putting the values,

  

Volume of the mixture of gas is 15.01 L

For calculating Partial pressure of gases present in mixture, Dalton law is applied

  

For calculating partial pressure of individual gases.

  

Where P = Partial Pressure of gas

   = Total pressure

   = no. of moles of gas

   = Total moles.

1) Partial Pressure of Oxygen

  

2) Partial Pressure of

  

1) Partial Pressure of

  

4) Partial Pressure of Ne

  

Conclusion

Partial pressure of gases:

  

Volume of mixture = 15.01L