To calculate the pressure of the gas using the ideal gas law (PV = nRT), where:
P is pressure,
V is volume,
n is the number of moles,
R is the ideal gas constant (0.08206 L atm / K mol),
T is temperature in Kelvin.
Given:
Volume (V) = 0.748 L
Number of moles (n) = 0.255 moles
Temperature (T) = 301.15 K
Ideal gas constant (R) = 0.08206 L atm / K mol
Plug in these values into the ideal gas law equation:
P * V = n * R * T
Solve for pressure (P):
P = (n * R * T) / V
Now, plug in the values:
P = (0.255 mol * 0.08206 L atm / K mol * 301.15 K) / 0.748 L
P ≈ 8.328 atm
Therefore, the pressure of the gas in the fixed container is approximately 8.328 atm.