Answer:
To determine the volume we can use the ideal gas law equation:
PV = nRT
Where:
P = pressure (in atm)
V = volume (in liters)
n = number of moles of gas
R = ideal gas constant (0.0821 L·atm/(mol·K))
T = temperature (in Kelvin)
Given:
n = 4.53 moles
P = 1.78 atm
T = 301 K
R = 0.0821 L·atm/(mol·K)
We can rearrange the equation to solve for V:
V = (n * R * T) / P
Now substituting the given values:
V = (4.53 moles * 0.0821 L·atm/(mol·K) * 301 K) / 1.78 atm
Calculating this equation we find:
V ≈ 24.0 liters
Therefore 4.53 moles of hydrogen at 1.78 atm and 301 K would occupy approximately 24.0 liters of volume.