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To find the new pressure after adding 4.00 mol of gas to the tank, we need to use the ideal gas law formula:
P1V1 = n1RT1
Where:
P1 = initial pressure = 772 kPa = 772000 Pa
V1 = volume of the tank (since it is rigid, volume is constant)
n1 = initial amount of gas = 2.91 mol
R = ideal gas constant = 8.31 J/(mol*K)
T1 = temperature (assume constant)
n2 = 4.00 mol (additional gas added)
Now we can rearrange the formula to solve for the new pressure (P2) after adding the additional gas:
P2 = (n1 + n2)RT1 / V1
P2 = (2.91 mol + 4.00 mol) * 8.31 J/(mol*K) * T / V1
P2 = 6.91 mol * 8.31 J/(mol*K) * T / V1
We do not have enough information to calculate the new pressure without knowing the temperature or volume of the tank.