Question

How many molecules of H2O are in 8.54 moles of H2O?

Answer 1

Answer:

5.14 x 10^24 molecules of H2O.

Explanation:

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Answer 2

Answer:

$\boxed {\boxed {\sf A. \ About \ 5.14 *10^{24} \ molecules \ H_2O}}$

Explanation:

To convert from moles to units, we must use Avogadro's Number: 6.022 * 10²³

This tells us the number of units (molecules of water in this problem) in 1 mole of a substance (water). We can use it as a ratio or fraction.

$\frac{6.022 *10^{23} \ molecules \ H_2O}{1 \ mol \ H_2 O}$

Now, we can multiply this fraction by the moles of water (8.54) given.

$8.54 \ mol \ H_2O*\frac{6.022 *10^{23}\ molecules \ H_2O}{1 \ mol \ H_2 O}$

When we multiply, the moles of water will cancel out.

$8.54 *\frac{6.022 \ molecules \ H_2O}{1 \ }$

Since the fraction has a 1 as a denominator, we can remove it. The problem will be a simple multiplication problem.

$8.54*6.022 \ molecules \ H_2O$

$5.142788*10^{24} \ molecules \ H_2O$

The original measurement of 8.54 has 3 significant figures (8, 5, and 4). Therefore, we must round our answer to 3 sig figs, which is the hundredth place in this case.

The 2 in the thousandth place tells us to leave the 4 in the hundredth place.

$5.14 *10^{24} \ molecules \ H_2 O$

There are about 5.14*10²⁴ molecules of water in 8.54 moles.