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Multiple Choice
If a sample of sodium chloride, NaCl, contains 73.1 kg, what is its number of formula units?
A
6.12 x 1025 formula units
B
8.42 x 1025 formula units
C
1.09 x 1026 formula units
D
7.53 x 1026 formula units
Verified step by step guidance
1
First, determine the molar mass of sodium chloride (NaCl). Sodium (Na) has a molar mass of approximately 22.99 g/mol, and chlorine (Cl) has a molar mass of approximately 35.45 g/mol. Add these values together to find the molar mass of NaCl.
Convert the mass of the NaCl sample from kilograms to grams. Since 1 kg equals 1000 g, multiply 73.1 kg by 1000 to get the mass in grams.
Calculate the number of moles of NaCl in the sample using the formula: \( \text{moles} = \frac{\text{mass in grams}}{\text{molar mass}} \). Use the mass in grams from step 2 and the molar mass from step 1.
Use Avogadro's number, \( 6.022 \times 10^{23} \text{mol}^{-1} \), to convert moles to formula units. Multiply the number of moles calculated in step 3 by Avogadro's number to find the number of formula units.
Compare the calculated number of formula units with the given options to identify the correct answer.