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Chapter 7: Problem 40

How many moles of \(\mathrm{NaNO}_{2}\) are there in a beaker that contains 0.500 \(\mathrm{kg}\) of \(\mathrm{NaNO}_{2}\) (molar mass of \(\mathrm{NaNO}_{2}=69.00 \mathrm{g} / \mathrm{mol} ) ?\)

Short Answer

Expert verified
The number of moles of \(\mathrm{NaNO}_{2}\) in the beaker is approximately 7.25 moles.

Step by step solution

01

Identifying the given information

Identify the values provided in the problem.\nThe mass of \(\mathrm{NaNO}_{2}\) is given as 0.500 \(\mathrm{kg}\), but we need this in grams for the calculation. Remembering that 1 \(\mathrm{kg}\) equals 1000 grams, this equates to 500 \(\mathrm{g}\).\nThe molar mass of \(\mathrm{NaNO}_{2}\) is given as 69.00 \(\mathrm{g/mol}\).
02

Apply the formula to calculate moles

Apply the moles formula \( moles = \frac{mass}{molar \, mass} \) with the identified numbers. We input the mass of the \(\mathrm{NaNO}_{2}\) which is 500 \(\mathrm{g}\), and the molar mass which is 69.00 \(\mathrm{g/mol}\).\nHence, our calculation becomes \( moles = \frac{500 \,g}{69.00 \, \mathrm{g/mol}} \).
03

Perform the calculation

Perform the division operation to get the value of the number of moles.\nThe calculation equates to approximately 7.25 moles.

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