A gas mixture contains 70g of n2 20g of h2 and 160g of ch4...

a gas mixture contains 7.0g of N2 2.0g of H2 and 16.0g of CH4 what is the mole fraction of H2 in the mixture ?calculate the pressure of the gas mixture and the partial pressure of each constituent gas if the mixture is in 1.00L vessel at 0C.

Transcript

00:01 So to solve for this, we are going to calculate first the number of moles of each classes.

00:10 Number of modes of n2.

00:14 So we have the mass of 7 grams, which we do, divided by the molar mass of n2 and it's 28 .02 grams per mole.

00:25 So that means you have 0 .2 .8 moles of met again that you have 0 .2 .8 moles of met hydrogen gas and then for hydrogen gas h2 we have two grams divided by its molar mass which is 2 .02 grams for every mole of hydrogen gas we will have 0 .991 and then for ph4 we have 15 grams 15 grams and then the molar mass of ph4 is 16 .5 grams per mole of ph4 so that means we have 0 .967 modes of ph.

01:15 So that means the total number of modes is the total is equivalent to the sum of this three and that would give up 2 .266 mode okay so we're going to so the mole fraction of h2 using the total number of moles.

01:42 So the mole ratio of hydrogen gas is equivalent to its number of moles.

01:49 So zero point nine and zero point divided by the total number of moles that's 3 .2666 most okay so that means the molar mold function rather of h2 and the mixture is zero point.

02:07 Sorry let me realize this is 0 .444 447 okay this is the no fraction of h2 and then to solve for the partial pressure of each gases we need to solve it for the total pressure so we're going to the general equation pb to let 2 and ip we arranging this pressure to equivalent to nrp over the volume so n so that we have calculated our total number of moles is 2 .2366 moles and then r is pure point zero is to one meters 8m per mole kelvin then the temperature is 2nd0 feet over the volume which is 1 meter so that means our pressure you can cancel the limit most kelvin in 1 meters we have atm that's the unit of pressure 50 .1 3 a p a pm okay this is the total pressure and then for the partial pressure of each gas here um partial pressure of age 2 hydrogen gas this is equivalent to the mole fraction of age 2 in the mixture multiple baggage total pressure okay so as that we have calculated we have 0 .447 0 .427 0 .0.

03:41 4.

03:42 I just say 0 .44.

03:45 Okay, this is the mold fraction of age 2...

Question

a gas mixture contains 7.0g of N2 2.0g of H2 and 16.0g of CH4 what is the mole fraction of H2 in the mixture ?calculate the pressure of the gas mixture and the partial pressure of each constituent gas if the mixture is in 1.00L vessel at 0C.

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