For the following reaction, 6.12 grams of phosphorus (P4) are mixed with excess chlorine gas . The reaction yields 21.5 grams of phosphorus trichloride . phosphorus (P4) ( s ) chlorine ( g ) phosphorus trichloride ( l ) What is the theoretical yield of phosphorus trichloride

Respuesta :

Answer: 27.1 gram

Explanation:

To calculate the moles :

[tex]\text{Moles of solute}=\frac{\text{given mass}}{\text{Molar Mass}}[/tex]    

[tex]\text{Moles of} P_4=\frac{6.12g}{124g/mol}=0.0494moles[/tex]

The balanced chemical reaction is:

[tex]P_4(s)+6Cl_2(g)\rightarrow 4PCl_3(l)[/tex]

As [tex]Cl_2[/tex] is the excess reagent, [tex]P_4[/tex] is the limiting reagent as it limits the formation of product.

According to stoichiometry :

1 mole of [tex]P_4[/tex]  give = 4 moles of [tex]PCL_3[/tex]

Thus 0.0494 moles of [tex]O_2[/tex] give =[tex]\frac{4}{1}\times 0.0494=0.198moles[/tex]  of [tex]PCl_3[/tex]

Mass of [tex]PCl_3=moles\times {\text {Molar mass}}=0.198moles\times 137g/mol=27.1g[/tex]

Thus 27.1 g  is the theoretical yield of phosphorus trichloride