How many grams are present in \(4.336 \times 10^{24}\) formula units of table salt, NaCl, whose molar mass is 58.44 \(\mathrm{g} / \mathrm{mol} ?\)

Short Answer

Expert verified
To find the final answer, complete the calculations in steps 1 and 2. The answer will be in grams.

Step by step solution

01

Calculate number of moles

The molar mass of NaCl is given as 58.44 g/mol. However, we are given the quantity of formula units, not grams or moles, so our first step will be converting formula units to moles. Using Avogadro's number \(6.022 \times 10^{23} \) formula units/mol, we can find moles from the formula units. Using the formula: \[ moles = \frac{formula~units}{Avogadro's~number} = \frac{4.336 \times 10^{24}}{6.022 \times 10^{23}} \]
02

Convert moles to grams

Now that we have the number of moles, we can convert this to grams using the molar mass of NaCl which is given as 58.44 g/mol. Thus, \[ grams = moles \times molar~mass = moles \times 58.44 \]
03

Calculate and Present the Final Answer

Perform the multiplication found in step 2 to get the final answer.

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