Answer:
V = 261 liters to 3 sig figs
Step-by-step explanation:
Use the ideal gas law:
PV = nRT
We'll use a gas constant, R, of 0.0821 L*atm/K*mol
That means we need to convert Pa into atm.
(4.05x10^5 Pa)*(1 atm/(101,325 Pa) = 4.00 atm
n = 25.5 moles
T = 499K
Rearrange to find V, the volume:
PV = nRT
V = (nRT)/P
Enter the data:
V = (nRT)/P
V = (25.5 mole)*( 0.0821 L*atm/K*mol)*(499K)/(4.00 atm)
Moles, temperature and atm all cancel, leaving just volume, in liters.
V = (25.5)*( 0.0821 L)*(499)/(4.00)
V = 261 liters to 3 sig figs