High School

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6. The star nearest to our Sun is Alpha Centauri, which is 4.3 light years away. A light

year is the distance that light travels in one year. 1 light year is about

9,500,000,000,000kilometers. Again, use the unit cancelation technique:

How many astronomical units is it to Alpha Centauri? HELP

6 The star nearest to our Sun is Alpha Centauri which is 4 3 light years away A light year is the distance that light

Answer :

Answer:

273,000 Astronomical Units.

Explanation:

4.3 light years = 40,850,000,000,000 kilometeres, 4.3 x 9,500,000,000,000.

Convert kilometers to astronomical unit:

149,597,870 kilometers = 1 AU, convert unit.

40,850,000,000,000 divided by 149,597,870 = 273,065.385222 or approx. 273,000 AU.

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Rewritten by : Barada

Final answer:

To find the mass of 3.01 x 10^23 molecules of methane, convert the number of molecules to moles using Avogadro's number and then multiply by the molar mass of methane to get the mass in grams.

Explanation:

To calculate the mass of 3.01 x 10^23 molecules of methane (CH4), we will need to use Avogadro's number (6.022 x 10^23), which is the number of particles in one mole of a substance, and the given molar mass of methane, which is 16.04 g/mol.

First, we find the number of moles of methane by dividing the number of molecules by Avogadro's number:

Moles of CH4 = (3.01 x 10^23 molecules) / (6.022 x 10^23 molecules/mol)

After calculating the moles, we then multiply the result by the molar mass of methane to get the mass:

Mass of CH4 = Moles of CH4 x Molar mass of CH4 (16.04 g/mol)

Finally, the calculated mass will provide the answer in grams.