If there are 3 moles of hydrogen, 6 moles of oxygen, and 9 moles of helium in a 10 L vessel at 27°C, the total pressure of the gas
mixture will be:
A. 55 atm
B.
105 atm
C.
18 atm
D. 44 atm
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The correct answer is D) 44 atm

Explanation:

We apply Dalton's law, where for a gas mixture the total pressure is the sum of the partial pressures of each gas that makes up that mixture. You can add the amount of moles and then calculate the pressure, using the ideal gas formula. We convert the temperature in Celsiud into Kelvin : 0°C= 273K>

27°C=27 + 273= 300K

PV= (nH+ n0+ nHe)x RT

P=((nH+ n0+ nHe)x RT)/V=

P=((3 mol + 6 mol +9 mol)x 0,082 l atm/ Kmol x300K)/10 L

P=44, 28 atm