Respuesta :
Answer: The mass of phosphorus trichloride produced is 58.1 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 chlorine gas = 30.0 g
Molar mass of chlorine gas = 71 g/mol
Putting values in equation 1, we get:
[tex]\text{Moles of chlorine gas}=\frac{30.0g}{71g/mol}=0.422mol[/tex]
The given chemical equation follows:
[tex]P_4+6Cl_2\rightarrow 4PCl_3[/tex]
By Stoichiometry of the reaction:
6 moles of chlorine gas produces 4 moles of phosphorus trichloride
So, 0.422 moles of chlorine gas will produce = [tex]\frac{4}{6}\times 0.422=0.281mol[/tex] of phosphorus trichloride
Now, calculating the mass of phosphorus trichloride from equation 1, we get:
Molar mass of phosphorus trichloride = 137.33 g/mol
Moles of phosphorus trichloride = 0.422 moles
Putting values in equation 1, we get:
[tex]0.422mol=\frac{\text{Mass of phosphorus trichloride}}{137.33g/mol}\\\\\text{Mass of phosphorus trichloride}=(0.422mol\times 137.33g/mol)=58.1g[/tex]
Hence, the mass of phosphorus trichloride produced is 58.1 grams.
