Answer : The pressure of hydrogen gas is 8.96 atm.
Explanation :
The given balanced chemical reaction is:
![2Al+6HCl\rightarrow 2AlCl_3+3H_2](https://tex.z-dn.net/?f=2Al%2B6HCl%5Crightarrow%202AlCl_3%2B3H_2)
From the balanced chemical reaction we conclude that,
As, 2 moles of Al react to give 3 moles of
gas
So, 4.50 moles of Al react to give
moles of
gas
Now we have to calculate the moles of
gas when percent yield is 75.4.
![\text{The moles of }H_2=75.4\% \times 6.75=\frac{75.4}{100}\times 6.75=5.09moles](https://tex.z-dn.net/?f=%5Ctext%7BThe%20moles%20of%20%7DH_2%3D75.4%5C%25%20%5Ctimes%206.75%3D%5Cfrac%7B75.4%7D%7B100%7D%5Ctimes%206.75%3D5.09moles)
Now we have to calculate the pressure of
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 = ![0.0821L.atm/mol.K](https://tex.z-dn.net/?f=0.0821L.atm%2Fmol.K)
T = Temperature of hydrogen gas = 300 K
Putting values in above equation, we get:
![P\times 14.0L=5.09mol\times 0.0821L.atm/mol.K\times 300K\\\\P=8.96atm](https://tex.z-dn.net/?f=P%5Ctimes%2014.0L%3D5.09mol%5Ctimes%200.0821L.atm%2Fmol.K%5Ctimes%20300K%5C%5C%5C%5CP%3D8.96atm)
Therefore, the pressure of hydrogen gas is 8.96 atm.