Answer : The mass of
needed to produce are, 1150 grams
Solution : Given,
Mass of metal (magnesium) = 75 g
Molar mass of magnesium = 24 g/mole
Molar mass of
= 184 g/mole
First we have to calculate the moles of metal (magnesium).
Now we have to calculate the moles of
.
The balanced chemical reaction will be,
![Mg+Br_2\rightarrow MgBr_2](https://img.qammunity.org/2020/formulas/chemistry/middle-school/8mvgq8b4t5z2re9u3w8ues7m66dnt5zprw.png)
From the balanced reaction we conclude that
1 moles of magnesium react to give 1 mole of
![MgBr_2](https://img.qammunity.org/2020/formulas/chemistry/middle-school/93e4qurv6dsd1bcfbwwnjmym8rhiesezah.png)
6.25 moles of magnesium react to give 6.25 moles of
![MgBr_2](https://img.qammunity.org/2020/formulas/chemistry/middle-school/93e4qurv6dsd1bcfbwwnjmym8rhiesezah.png)
Now we have to calculate the mass of
![MgBr_2](https://img.qammunity.org/2020/formulas/chemistry/middle-school/93e4qurv6dsd1bcfbwwnjmym8rhiesezah.png)
![\text{Mass of }MgBr_2=(6.25mole)* (184g/mole)=1150g](https://img.qammunity.org/2020/formulas/chemistry/middle-school/zthin792w4g25h0g2de1hw2u050l30qvzu.png)
Therefore, the mass of
needed to produce are, 1150 grams