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phosphorus trifluoride is formed from its elements P4 (s) F2 (g) ---> PF3 (g) how many grams of fluorine are needed to react with 6.20 g

Answer :

This is an incomplete question, here is a complete question.

Phosphorus trifluoride is formed from its elements.

[tex]P_4(s)+6F_2(g)\rightarrow 4PF_3(g)[/tex]

How many grams of fluorine are needed to react with 6.20 g of phosphorus?

Answer : The mass of [tex]F_2[/tex] needed are, 11.4 grams.

Explanation : Given,

Mass of [tex]P_4[/tex] = 6.20 g

Molar mass of [tex]P_4[/tex] = 124 g/mol

Molar mass of [tex]F_2[/tex] = 38 g/mol

First we have to calculate the moles of [tex]P_4[/tex]

[tex]\text{Moles of }P_4=\frac{\text{Given mass }P_4}{\text{Molar mass }P_4}[/tex]

[tex]\text{Moles of }P_4=\frac{6.20g}{124g/mol}=0.05mol[/tex]

Now we have to calculate the moles of [tex]F_2[/tex]

The balanced chemical equation is:

[tex]P_4(s)+6F_2(g)\rightarrow 4PF_3(g)[/tex]

From the balanced reaction we conclude that

As, 1 mole of [tex]P_4[/tex] react with 6 moles of [tex]F_2[/tex]

So, 0.05 moles of [tex]P_4[/tex] react with [tex]0.05\times 6=0.30[/tex] moles of [tex]F_2[/tex]

Now we have to calculate the mass of [tex]F_2[/tex]

[tex]\text{ Mass of }F_2=\text{ Moles of }F_2\times \text{ Molar mass of }F_2[/tex]

[tex]\text{ Mass of }F_2=(0.30moles)\times (38g/mole)=11.4g[/tex]

Therefore, the mass of [tex]F_2[/tex] needed are, 11.4 grams.

The mass of F2  that should be required to react with 6.20 g should be 11.4 grams.

Calculation of the mass:

Since

Mass of P4 is 6.20g

The molar mass of P4 is 124 g/mol.

And, the molar mass of F2 is 38 g/mol.

Now the moles of P4 is

= Given mass / molar mass

= 6.20/124

= 0.05 mol

Now the moels of F2 is

= Moles of P4 * 6

= 0.05 * 6

= 0.30 moles

So, here the mass is

= Moles of F2 * molar mass of F2

= 0.30 * 38

= 11.4 grams

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