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Chapter 18: Q. 42 (page 512)

The molecular mass of water (H2O) is A = 18. How many protons are there in 1.0 L of liquid water?

Short Answer

Expert verified

The answer is $3.344 . 10^{26} p r o t o n s$

Step by step solution

01

Description of the molecule of water

The molecular mass of water (H2O) is A = 18.

In water, one molescule has 10 protons, in which eight from oxygen atom as well as one from each hydrogen.

02

Finding of calculating the number of protons

The number n of moles is

$n = \frac{m}{M} = \frac{p V}{M}$

In this case V is the volume and m as well as M is the molar mass is the mass.

Thus the number of moles is:

$n = \frac{N}{N_{A}} \Rightarrow N = n N_{A}$

In this case N is the total number of molecules as well as the avogadro number is $N_{A}$ .

Therefore, the combination is:
role="math" localid="1649075772427" $N = \frac{p V N_{A}}{M}$

Thus

$\frac{1000 . 0.001 . 6.02 . 10^{23}}{0.018} = 3.344 . 10^{25} m o l e c u l e s$

Thus, the number of protons $n_{p}$ would be

$n_{p} = 10 N = 3.344 . 10^{26}$

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Most popular questions from this chapter

A cylinder contains nitrogen gas. A piston compresses the gas

to half its initial volume. Afterward,

a. Has the mass density of the gas changed? If so, by what factor?

If not, why not?

b. Has the number of moles of gas changed? If so, by what factor?

If not, why not?

What volume of water has the same mass as 100 cm3 of gold?

The atomic mass number of copper is $A = 64$ . Assume that atoms in solid copper form a cubic crystal lattice. To envision this, imagine that you place atoms at the centers of tiny sugar cubes, then stack the little sugar cubes to form a big cube. If you dissolve the sugar, the atoms left behind are in a cubic crystal lattice. What is the smallest distance between two copper atoms?

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Two students each build a piece of scientific equipment that uses a 655 mm-long metal rod. One student uses a brass rod, the other an invar rod. If the temperature increases by $5.0 °$ C, how much more does the brass rod expand than the invar rod?

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