Question

multiple - choice question
what will go on the denominator of the conversion factor (number and unit)?
convert 6.35 g of magnesium nitrate to moles
6.35 g
1 mole
148.3 g/mol
rewatch
1 mol = 148.3 g
moles = grams and moles
24.3 + 14.01 × 2 + 16 × 6 = 148.3 g/mol
6.35 g mg(no₃)₂ ( )

Explanation:

Step1: Understand the conversion formula

To convert grams to moles, we use the formula \(n=\frac{m}{M}\), where \(n\) is the number of moles, \(m\) is the mass in grams, and \(M\) is the molar mass in \(g/mol\). In the unit - conversion setup (dimensional analysis), when we want to find moles (\(n\)), and we know the mass (\(m = 6.35g\)) and the molar mass (\(M=148.3g/mol\)), the conversion factor should be \(\frac{1\space mol}{148.3\space g}\).

Step2: Analyze the denominator of the conversion factor

In the formula \(n=\frac{m}{M}\), if we write it as \(n = 6.35g\times\frac{1\space mol}{M}\), comparing with the general form of unit conversion \(m\times\frac{\text{desired unit}}{\text{original unit}}\). Here, the original unit is grams (\(g\)), and the desired unit is moles (\(mol\)). So the denominator of the conversion factor should be the unit of the given mass (grams).

Answer:

\(6.35\space g\)