Answer : The pressure of hydrogen gas is 8.96 atm.
Explanation :
The given balanced chemical reaction is:

From the balanced chemical reaction we conclude that,
As, 2 moles of Al react to give 3 moles of  gas
 gas
So, 4.50 moles of Al react to give  moles of
 moles of  gas
 gas
Now we have to calculate the moles of  gas when percent yield is 75.4.
 gas when percent yield is 75.4.

Now we have to calculate the pressure of  gas.
 gas.
Using ideal gas equation :
PV = nRT
where,
P = Pressure of hydrogen gas = ?
V = Volume of the hydrogen gas = 14.0 L
n = number of moles of hydrogen gas = 5.09 moles
R = Gas constant = 
T = Temperature of hydrogen gas = 300 K
Putting values in above equation, we get:

Therefore, the pressure of hydrogen gas is 8.96 atm.