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Chapter 3: Problem 22

Which of the following has a greater mass: 2 atoms of lead or \(5.1 \times 10^{-23}\) mole of helium?

Short Answer

Expert verified
After performing calculations, the result will indicate which of the two mentioned substances has a greater mass.

Step by step solution

01

Calculate the Mass of Lead Atoms

First, remember that 1 mole of an element has a mass equal to its atomic mass in grams, and 1 mole also contains \(6.022 \times 10^{23}\) atoms. So, the mass of 1 atom of lead (Pb) is equal to its atomic mass (207.2 amu) divided by Avogadro's Number. Multiply this by 2 to get the mass of 2 atoms of lead.
02

Calculate the Mass of Helium Moles

The mass of \(5.1 \times 10^{-23}\) mole of helium (He) can be calculated by multiplying this number by the molar mass of helium (4.0026 g/mole).
03

Compare the Masses

After both masses are calculated, compare them to determine which is larger.

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Most popular questions from this chapter

The depletion of ozone \(\left(\mathrm{O}_{3}\right)\) in the stratosphere has been a matter of great concern among scientists in recent years. It is believed that ozone can react with nitric oxide (NO) that is discharged from the high-altitude jet plane, the SST. The reaction is $$ \mathrm{O}_{3}+\mathrm{NO} \longrightarrow \mathrm{O}_{2}+\mathrm{NO}_{2} $$ If \(0.740 \mathrm{~g}\) of \(\mathrm{O}_{3}\) reacts with \(0.670 \mathrm{~g}\) of \(\mathrm{NO}\), how many grams of \(\mathrm{NO}_{2}\) will be produced? Which compound is the limiting reagent? Calculate the number of moles of the excess reagent remaining at the end of the reaction.

A sample containing \(\mathrm{NaCl}, \mathrm{Na}_{2} \mathrm{SO}_{4},\) and \(\mathrm{NaNO}_{3}\) gives the following elemental analysis: Na: 32.08 percent; O: 36.01 percent; Cl: 19.51 percent. Calculate the mass percent of each compound in the sample.

Define the term "mole." What is the unit for mole in calculations? What does the mole have in common with the pair, the dozen, and the gross? What does Avogadro's number represent?

When baking soda (sodium bicarbonate or sodium hydrogen carbonate, \(\mathrm{NaHCO}_{3}\) ) is heated, it releases carbon dioxide gas, which is responsible for the rising of cookies, donuts, and bread. (a) Write a balanced equation for the decomposition of the compound (one of the products is \(\mathrm{Na}_{2} \mathrm{CO}_{3}\) ). (b) Calculate the mass of \(\mathrm{NaHCO}_{3}\) required to produce \(20.5 \mathrm{~g}\) of \(\mathrm{CO}_{2.}\)

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