Given the weight composition, compute the partial pressures

In summary, the conversation discusses how to handle problems involving molar fraction and partial pressures. The steps to find the molar fraction and compute the partial pressures are outlined, and it is important to remember to include units when making calculations.
  • #1
DottZakapa
239
17
Homework Statement
a reactor contains a gas mixture of nitrogen, oxygen and propane at a total pressure of 5.00 atm. The weight composition of the mixture is 56 % nitrogen 32% oxygen 12% propane.calculate the partial pressures of the three gases.
Relevant Equations
gas laws
Hi can someone give an hand on understanding how to handle such kind of problems ?
can't come up with a valid solution.
if i do
##\frac {0,56}{2*14.00}## do i get the molar fraction of nitrogen?
 
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  • #2
ok finally got inspired.

##n_{N_2}=\frac {56}{2*14.00} = 2## mol
##n_{O_2}=\frac {32}{2*16.00} = 1##mol
##n_{C_3H_8}=\frac {12}{(3*12.01)+(8*1.01)}=0.2720## mol

In order to find the molar fraction:

##n_{tot}=n_{N_2}+n_{O_2}+n_{C_3H_8}##

##\chi_{N_2}=\frac {n_{N_2}}{n_{tot}} ##

##\chi_{O_2}=\frac {n_{O_2}}{n_{tot}} ##

##\chi_{C_3H_8}=\frac {n_{C_3H_8}}{n_{tot}} ##

In order to compute the partial pressures:

##P_{N_2}= \chi_{N_2} P_{tot}##

##P_{O_2}= \chi_{O_2} P_{tot}##

##P_{C_3H_8}= \chi_{C_3H_8} P_{tot}##

And this solves the problem
 
  • Like
Likes Chestermiller
  • #3
Looks correct. Remember units when calculating amount of substance.
 

1. What is weight composition?

Weight composition refers to the relative amounts of different substances present in a mixture or compound, typically measured in terms of mass or weight percentage.

2. How do you calculate partial pressure?

Partial pressure is calculated by multiplying the total pressure of a gas mixture by the mole fraction of the gas in question. This can also be expressed as the product of the total pressure and the weight percentage of the gas in the mixture.

3. Why is it important to know the partial pressures of gases?

Knowing the partial pressures of gases is important in a variety of scientific and industrial applications, such as in gas chromatography, gas law calculations, and in the production and storage of gases.

4. Can you calculate partial pressures for liquids or solids?

No, partial pressures can only be calculated for gases. Liquids and solids do not exert pressure in the same way that gases do.

5. How does temperature affect partial pressures?

According to the gas laws, an increase in temperature will result in an increase in the partial pressures of gases in a mixture, assuming the volume and moles of the gases remain constant.

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