Answer: (i) 0.261 moles of HCl, (ii) 0.131 moles of
and (iii) 12.5 grams of
![MgCl_2](https://img.qammunity.org/2020/formulas/chemistry/high-school/h41bri3x5gyg642vaxbdc6cdy3ganvgjts.png)
Step-by-step explanation: The balanced equation for the formation of HCl by the reaction magnesium chloride with water is:
![MgCl_2+2H_2O\rightarrow 2HCl+Mg(OH)_2](https://img.qammunity.org/2020/formulas/chemistry/middle-school/ii8fdefz3byernwqv7jyvfkgev9gua4g8j.png)
From above balanced equation, there is 1:2 mol ratio between magnesium chloride and HCl.
As per the given information, 5.85 L of HCl gas is produced. here, temperature and pressure is not mentioned, so let's assume STP conditions.
At STP, volume of 1 mol of a gas is 22.4 L. With the help of this, we can calculate the moles of HCl present in 5.85 L.
![5.85LHCl((1mol)/(22.4L))](https://img.qammunity.org/2020/formulas/chemistry/middle-school/zxglnkp8miz1u5nkzoxx1phnzzf3ydkph7.png)
= 0.261 mol HCl
As there is 1:2 mol ratio between magnesium chloride and HCl, we can calculate the moles of magnesium chloride from the above calculated moles of HCl as:
![0.261molHCl((1molMgCl_2)/(2molHCl))](https://img.qammunity.org/2020/formulas/chemistry/middle-school/nxwf42q0ympsux1lnefwxnn42mc92l8lrf.png)
= 0.131 mol
![MgCl_2](https://img.qammunity.org/2020/formulas/chemistry/high-school/h41bri3x5gyg642vaxbdc6cdy3ganvgjts.png)
Molar mass of magnesium chloride is given as 95.2 gram per mol. On multiplying the moles by molar mass we can calculate its mass reacted.
![0.131molMgCl_2((95.2g)/(1mol))](https://img.qammunity.org/2020/formulas/chemistry/middle-school/tfppmu6z1zuw5rjplupg0csjtfz1ygcotm.png)
= 12.5 g
![MgCl_2](https://img.qammunity.org/2020/formulas/chemistry/high-school/h41bri3x5gyg642vaxbdc6cdy3ganvgjts.png)