Respuesta :
Answer: 0.94L
Explanation:
As a solution of concentration of 0.32 M indicates that contains 0.32 moles of the compound in 1L of solution. So we need to calculate the grams of Mg(NO3)2 in 0.32 M:
[tex]\frac{0.32 moles Mg(NO3)2}{L}[/tex]×[tex]\frac{148.3 g Mg(NO3)2}{molMg(NO3)2}[/tex][tex]=\frac{47.5 g Mg(NO3)2}{L}[/tex]
This is telling you that you have 47.5 g de Mg(NO3)2 per liter of solution.
Now, using a rule of three you can know de volume that occupies a solution containing 45 g of Mg(NO3)2:
47.5 g Mg(NO3)2 → 1L solution
45 g Mg(NO3)2 → x
[tex]x=\frac{45g * 1L}{47.5 g} = 0.94L[/tex]
Finally, we have 45g of Mg(NO3)2 in a volume of 0.94L of solution 0.32 M Mg(NO3)2.
The volume in liters (L) of [tex]Mg(NO_3)_2[/tex] contained in 0.32 M is 0.95 grams.
Given the following data:
- Number of moles = 0.32 M
- Mass = 45 g
Molar mass of [tex]Mg(NO_3)_2[/tex] = 148.3 g/mol.
To calculate the volume in liters (L) of the given chemical solution:
First of all, we would determine the mass of [tex]Mg(NO_3)_2[/tex] contained in 0.32 M:
[tex]Mass = Number\;of\;moles \times molar\;mass\\\\Mass = 0.32 \times 148.3[/tex]
Mass of [tex]Mg(NO_3)_2[/tex] = 47.46 grams
Now, we can calculate the volume in liters (L);
47.46 grams of [tex]Mg(NO_3)_2[/tex] = 1 Liter
45 grams = X Liter
Cross-multiplying, we have:
[tex]47.46 \times X = 45 \times 1\\\\47.46X = 45\\\\X = \frac{45}{47.46}[/tex]
X = 0.95 grams
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