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Maslowich
3 years ago
11

A closed container has 6.08 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10–24 grams. Which of the following shows

and explains the approximate total mass, in grams, of all the atoms of the gas in the container?
Mathematics
2 answers:
erica [24]3 years ago
8 0

Answer:

10.1536\times  10^{-1}\approx 1.02 grams.

Step-by-step explanation:

We have been given that a closed container has 6.08\times 10^{23} atoms of a gas. Each atom of the gas weighs 1.67\times 10^{-24} grams.

To find the total mass, in grams, of all the atoms of the gas in the container, we will multiply number of atoms with mass of each atom.

\text{Total mass}=6.08\times 10^{23}\times 1.67\times 10^{-24}

Using exponent property a^b\times a^c=a^{b+c}, we will get:

\text{Total mass}=6.08\times 1.67\times  10^{23}\times 10^{-24}

\text{Total mass}=10.1536\times  10^{23+(-24)}

\text{Total mass}=10.1536\times  10^{-1}

\text{Total mass}=10.1536\times\frac{1}{10}

\text{Total mass}=1.01536

\text{Total mass}\approx 1.02

Therefore, the approximate total mass, in grams, of all the atoms of the gas in the container is 10.1536\times  10^{-1}\approx 1.02 grams.

ipn [44]3 years ago
7 0
Total mass = 6.08 x 10^23 * 1.67 x 10^-24 = 1.01536
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