Concentrated hydrogen peroxide solutions are explosivelydecomposed by traces of transition metal ions
2H2O2(aq) -> 2H2O(l)+O2
what volume of pure O2 collected at 27 C and 764 torr would begenerated by decomposition of 125 grams of a 50% by mass hydrogenperoxide solution?
Ignore any water vapor that may bepresent.

Respuesta :

Answer:

22.52 liters volume of pure oxygen gas will be collected at 27°C and 764 Torr.

Explanation:

Mass of hydrogen peroxide solution = 125 g

Mass of hydrogen peroxide in solution = 50% of 125 g ;

[tex]\frac{50}{100}\times 125 g=62.5 g[/tex]

Moles of hydrogen peroxide =[tex]\frac{62.5 g}{34 g/mol}=1.838 mol[/tex]

[tex]2H_2O_2(aq)\rightarrow 2H_2O(l)+O_2(g)[/tex]

According to reaction, 2 moles of hydrogen peroxide gives 1 mole of oxygen gas.

Then 1.838 moles of hydrogen peroxide will give:

[tex]\frac{1}{2}\times 1.838 mol=0.919 mol[/tex] of oxygen gas .

Moles of oxygen gas = n = 0.919 mol

Pressure of oxygen gas , P= 764 Torr= [tex]\frac{764}{760}atm=1.005 atm[/tex]

Volume of oxygen  gas = V = ?

Gas constant , R= 0.0821 L.atm/mol.K

Temperature of oxygen gas = 27°C=27+273 K=300 K

Using ideal gas equation:

PV = nRT

Putting values in above equation, we get:

[tex]V=\frac{nRT}{P}[/tex]

[tex]=\frac{0.919 mol\times 0.0821 atm L/mol K\times 300 K}{1.005 atm}[/tex]

V = 22.52 L

22.52 liters volume of pure oxygen gas will be collected at 27°C and 764 Torr.