Answer:
The pressure of dry hydrogen gas is 734 mm Hg.And number of moles of hydrogen gas is 0.017mol.
Reacted mass of aluminium is 0.306 g.
Explanation:
The total pressure is the sum of the individual pressure.
[tex]P_{total}=P_{H_{2}}-P_{H_{2}O}[/tex]
Total pressure = 755 mmHg
Pressure of water = 21mmHg
[tex]P_{total}=755-21= 734mmHg[/tex]
Therefore, The pressure of dry hydrogen gas is 734 mm Hg.
Number of moles of hydrogen gas can be calculate is as follows.
[tex]n=\frac{PV}{RT}[/tex]
From the given,
Pressure "P" = 755 mmHg = 0.993 atm
Volume"V"= 415 mL = 0.415 L
Gas constant "R" = 0.0821 L.atm/mol.K
Temperature = 23+273= 296 K
[tex]n=\frac{0.993\times 0.415}{0.0821\times 296}=0.017mol[/tex]
Therefore, number of moles of hydrogen gas is 0.017mol.
Mass of aluminium reacted:
[tex]0.017mol\times \frac{2 molAl}{3molH_{2}}\times \frac{26.98Al}{molAl}=0.306gAl[/tex]
Therefore, Reacted mass of aluminium is 0.306 g.
