The number of moles of a gas is directly proportional to the pressure of the gas at constant temperature and volume.
This comes from the ideal gas law:
PV=nRT or PV/nT = R, a constant
We can assume constant volume because the container is rigid, and there's no indication that the temperature changed.
When V and T are unchanged they can be left out of the equation so P/n equals a constant. When pressure and...
The number of moles of a gas is directly proportional to the pressure of the gas at constant temperature and volume.
This comes from the ideal gas law:
PV=nRT or PV/nT = R, a constant
We can assume constant volume because the container is rigid, and there's no indication that the temperature changed.
When V and T are unchanged they can be left out of the equation so P/n equals a constant. When pressure and number of moles change, P1/n1 = P2/n2.
We can rearrange this to solve for the new pressure: P2 = (P1)(n2)/n1
P1 = 1.00 atm
n1 = 6.36 moles
n2 = 6.36 moles + 1.28 moles = 7.64 moles
P2 = (1.00 atm)(7.64 mol)/(6.36 mol) = 1.20 atm
This answer is consistent with what we expect, a higher pressure because the number of moles of gas increased.
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