How many moles are present in 1.64 g of [tex]$MgSO_4$[/tex]?

A. 0.734 mol
B. 1.64 mol
C. 120 mol
D. 0.0136 mol

Answer :

To find out how many moles are present in 1.64 g of [tex]\( MgSO_4 \)[/tex], we need to use the formula for moles:

[tex]\[
\text{moles} = \frac{\text{mass}}{\text{molar mass}}
\][/tex]

Here are the steps to solve this problem:

1. Determine the mass of [tex]\( MgSO_4 \)[/tex] given:
You have 1.64 grams of [tex]\( MgSO_4 \)[/tex].

2. Find the molar mass of [tex]\( MgSO_4 \)[/tex]:
The molar mass of [tex]\( MgSO_4 \)[/tex] is approximately 120.366 g/mol.

3. Calculate the number of moles:
Use the formula to divide the given mass by the molar mass:

[tex]\[
\text{moles of } MgSO_4 = \frac{1.64 \text{ g}}{120.366 \text{ g/mol}}
\][/tex]

4. Perform the division:
After performing the division, we find that there are approximately 0.0136 moles of [tex]\( MgSO_4 \)[/tex].

Hence, the number of moles present in 1.64 g of [tex]\( MgSO_4 \)[/tex] is approximately 0.0136 mol.