Respuesta :
Answer: The mass of oxygen gas required will be 6.648 grams.
Explanation:
To calculate the number of moles, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex] ....(1)
Given mass of hydrochloric acid = 30.3 g
Molar mass of hydrochloric acid = 36.46 g/mol
Putting values in above equation, we get:
[tex]\text{Moles of }HCl=\frac{30.3g}{36.46g/mol}=0.831mol[/tex]
For the given chemical reaction, the balanced equation follows:
[tex]4HCl+O_2\rightarrow 2H_2O+2Cl_2[/tex]
By Stoichiometry of the reaction:
4 moles of HCl reacts with 1 mole of oxygen gas.
So, 0.831 moles of HCl will react with = [tex]\frac{1}{4}\times 8.31=0.20775mol[/tex] of oxygen gas.
Now, calculating the mass of oxygen gas by using equation 1, we get:
Moles of oxygen gas = 0.20775 moles
Molar mass of oxygen gas = 32 g/mol
Putting values in equation 1, we get:
[tex]0.20775mol=\frac{\text{Mass of oxygen gas}}{32g/mol}\\\\\text{Mass of oxygen gas}=6.648g[/tex]
Hence, the mass of oxygen gas required will be 6.648 grams.
