Answer : The mass of
required is 18.238 grams.
Explanation : Given,
Mass of
= 83.10 g
Molar mass of
= 146 g/mole
Molar mass of
= 256.52 g/mole
The balanced chemical reaction is,
![S_8+24F_2\rightarrow 8SF_6](https://img.qammunity.org/2020/formulas/chemistry/college/xnif260rjsrqzv655phr35u97u411ik4an.png)
First we have to determine the moles of
.
![\text{Moles of }SF_6=\frac{\text{Mass of }SF_6}{\text{Molar mass of }SF_6}=(83.10g)/(146g/mole)=0.569moles](https://img.qammunity.org/2020/formulas/chemistry/college/uc5umwxyu2cx000zbg4uo1i67kjv21393c.png)
Now we have to determine the moles of
.
From the balanced chemical reaction we conclude that,
As, 8 moles of
produced from 1 mole of
![S_8](https://img.qammunity.org/2020/formulas/chemistry/middle-school/5w8menofpixvtx2n8ewwmu0tvfv6pgmg7r.png)
So, 0.569 moles of
produced from
mole of
![S_8](https://img.qammunity.org/2020/formulas/chemistry/middle-school/5w8menofpixvtx2n8ewwmu0tvfv6pgmg7r.png)
Now we have to determine the mass of
.
![\text{Mass of }S_8=\text{Moles of }S_8* \text{Molar mass of }S_8](https://img.qammunity.org/2020/formulas/chemistry/college/azn6cxvjvujq73wzjez9a8rkc0ud4rp0r7.png)
![\text{Mass of }S_8=(0.0711mole)* (256.52g/mole)=18.238g](https://img.qammunity.org/2020/formulas/chemistry/college/n4lzpo3ia3gatf8xv522t8qy0ox6g5eupe.png)
Therefore, the mass of
required is 18.238 grams.