I mix 9.99 grams of nitrogen, 9.18 grams of hydrogen and 9.05 grams of helium in a flask. If the total pressure in the system was found to be 301 kPa. How much pressure of the total does each gas exert?a) The pressure due to the hydrogen was  b) The pressure due to the nitrogen was c) The pressure due to the helium was

Question
Asked Oct 13, 2019

I mix 9.99 grams of nitrogen, 9.18 grams of hydrogen and 9.05 grams of helium in a flask. If the total pressure in the system was found to be 301 kPa. How much pressure of the total does each gas exert?

a) The pressure due to the hydrogen was 

 

b) The pressure due to the nitrogen was 


c) The pressure due to the helium was 

check_circleExpert Solution
Step 1

From the given masses of nitrogen, hydrogen and helium, the moles can be calculated.

Given, N 9.99g
H-9.18g
Не 39.05 g
mass of N
moles of N
molar mass of N
9.99g
= 0.356 mol N 2
28 g/mol
mass of H2
molar mass of H
moles of H
9.18g
=4.59 mol H2
2g/mol
massof He
molesof He
molar mass of He
9.05g
=2.262molHe
4 g/mol
Totalmoles-(0.356+4.59 +2.262)mol
7.208 mol
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Given, N 9.99g H-9.18g Не 39.05 g mass of N moles of N molar mass of N 9.99g = 0.356 mol N 2 28 g/mol mass of H2 molar mass of H moles of H 9.18g =4.59 mol H2 2g/mol massof He molesof He molar mass of He 9.05g =2.262molHe 4 g/mol Totalmoles-(0.356+4.59 +2.262)mol 7.208 mol

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Step 2

From the given total pressure, the pressure ex...

_ moles of N
Mole fraction of N
total moles
0.356 mol
=0.0493
7.208mol
Partial pre ssure of Nn,=molefracti on of N,xtotal pressure
=0.0493x301kPa=14.8 39 kPa
moles of H
Mole fraction of H
total moles
4.59mol
=0.636
7.208mol
Partial pre ssure of H=mole fraction of H,x total pressure
0.636x301kPa=191.436 kPa
moles of He
Mole fraction of He=
total moles
2.262mol
7.208mol
.=0.3 13
Partial pressure of He =mole fraction of Hextotal pressure
0.313x301kPa =94.213 kPa
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_ moles of N Mole fraction of N total moles 0.356 mol =0.0493 7.208mol Partial pre ssure of Nn,=molefracti on of N,xtotal pressure =0.0493x301kPa=14.8 39 kPa moles of H Mole fraction of H total moles 4.59mol =0.636 7.208mol Partial pre ssure of H=mole fraction of H,x total pressure 0.636x301kPa=191.436 kPa moles of He Mole fraction of He= total moles 2.262mol 7.208mol .=0.3 13 Partial pressure of He =mole fraction of Hextotal pressure 0.313x301kPa =94.213 kPa

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