Respuesta :
Answer : The pressure of hydrogen gas is 8.96 atm.
Explanation :
The given balanced chemical reaction is:
[tex]2Al+6HCl\rightarrow 2AlCl_3+3H_2[/tex]
From the balanced chemical reaction we conclude that,
As, 2 moles of Al react to give 3 moles of [tex]H_2[/tex] gas
So, 4.50 moles of Al react to give [tex]\frac{3}{2}\times 4.50=6.75[/tex] moles of [tex]H_2[/tex] gas
Now we have to calculate the moles of [tex]H_2[/tex] gas when percent yield is 75.4.
[tex]\text{The moles of }H_2=75.4\% \times 6.75=\frac{75.4}{100}\times 6.75=5.09moles[/tex]
Now we have to calculate the pressure of [tex]H_2[/tex] 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 = [tex]0.0821L.atm/mol.K[/tex]
T = Temperature of hydrogen gas = 300 K
Putting values in above equation, we get:
[tex]P\times 14.0L=5.09mol\times 0.0821L.atm/mol.K\times 300K\\\\P=8.96atm[/tex]
Therefore, the pressure of hydrogen gas is 8.96 atm.
