The ideal gas law formula can be used to solve this problem:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.
First, we can use the ideal gas law to find the initial number of moles:
n1 = (PV) / (RT)
n1 = (1.20 atm * 463 L) / (0.0821 L·atm/mol·K * 305 K)
n1 = 20.8 moles
Next, we can use the ideal gas law again to find the final number of moles:
n2 = (PV) / (RT)
n2 = (1.43 atm * 387 L) / (0.0821 L·atm/mol·K * 329 K)
n2 = 20.8 moles
Therefore, the number of moles that will occupy 387 L at 329 K and 1.43 atm is 20.8 moles.
