QUESTION IMAGE
Question
- how many grams are in 0.50 moles of sodium hydroxide (naoh)?
a. 20 g
b. 40 g
c. 10 g
d. 80 g
- how many moles are in 18.0 g of water (h₂o)?
a. 0.50 mol
b. 1.00 mol
c. 2.00 mol
d. 18.0 mol
- which conversion factor is needed to convert grams to moles?
a. avogadros number
b. liters at stp
c. molar mass
d. density
Question 17
Step1: Calculate molar mass of NaOH
Molar mass of Na = 23 g/mol, O = 16 g/mol, H = 1 g/mol.
$$M_{\text{NaOH}} = 23 + 16 + 1 = 40\ \text{g/mol}$$
Step2: Relate moles to mass
Use formula $m = n \times M$, where $n=0.50\ \text{mol}$, $M=40\ \text{g/mol}$.
$$m = 0.50 \times 40 = 20\ \text{g}$$
Step1: Calculate molar mass of H₂O
Molar mass of H = 1 g/mol, O = 16 g/mol.
$$M_{\text{H}_2\text{O}} = (2 \times 1) + 16 = 18\ \text{g/mol}$$
Step2: Relate mass to moles
Use formula $n = \frac{m}{M}$, where $m=18.0\ \text{g}$, $M=18\ \text{g/mol}$.
$$n = \frac{18.0}{18} = 1.00\ \text{mol}$$
To convert grams (mass) to moles, the relationship $n = \frac{m}{M}$ is used, where $M$ is molar mass. Avogadro's number converts moles to particles, STP volume relates to gas moles, and density relates mass to volume, so only molar mass works for gram-to-mole conversion.
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A. 20 g
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