Question

1. How to convert one kg of oxygen gas into liters? 2. How many molecules are present in 1 liter of oxygen? with explaination. 3. How to conver 50 m3 of oxygen into litters?

Answer 1

To find the answer for this you can use the ideal gas law.
i)volume of 1kg of oxygen

It states that one mole of an ideal gas occupies 22.4 liters.

Find the moles of 1kg of oxygen:
 
moles = mass/ molar mass   mass= 1000g,  molar mass= 32
 
moles= 1000/32
         =31.25 moles

Find the volume as follows:
If 1 mole= 22.4 L
then 31.25 moles= (22.4 x 31.25) L
                            = 700 liters.

ii)How many molecules of oxygen are in 1 liter.
Make use of Avogadro's constant

1 mole of a substance has 6.023 x10^23 molecules

According to Ideal gas law; 22.4 liters of a gas is 1 mole.

Find moles of I liter oxygen.

If 22.4 liters = 1 mole
Then 1 liter= 1 x 1/22.4
                  =0.04464 moles
If 1 mole= 6.023 x 10^23 molecules
Then 0.04464 moles= 6.023x10^23 x 0.04464
                                 =2.6886672 x 10^22 (1 liter has this number of                                                                                  molecules)
iii) 50m3 of oxygen to liters.

1 meter cubed= 1000 liters

Therefore 50m3 = (1000 x 50) m3
     
                          50 000 liters
               
                          = 50 000 liters of oxygen
 
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