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How many grams are there in 9.4x10^25 molecules of H2

User RAAAAM
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2 Answers

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Final answer:

To find the mass of 9.4x10^25 molecules of H2, convert the number of molecules to moles using Avogadro's number and then multiply by the molar mass of H2. The result is approximately 312285.7142 grams.

Step-by-step explanation:

To calculate the mass of 9.4x1025 molecules of H2, we first need to find out how many moles this number of molecules represents. Using Avogadro's number, which is 6.02 x 1023 molecules per mole, we can perform this conversion.

The number of moles (n) is calculated using the formula:
n = Number of molecules ÷ Avogadro's number
n = 9.4x1025 molecules ÷ 6.02 x 1023 molecules/mol
n = 156142.8571 moles

Now that we have the moles of H2, we can calculate the mass. The molar mass of H2 (which consists of two hydrogen atoms) is approximately 2 grams per mole. We calculate mass (m) using the formula:
m = n × molar mass
m = 156142.8571 moles × 2 grams/mole
m = 312285.7142 grams

Therefore, 9.4x1025 molecules of H2 have a mass of approximately 312285.7142 grams.

User Zayda
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6 votes

Answer:

You start with 9.4 x 1025 molecules of H2.

You know that an Avogadro's number of molecules of H2 has a mass of 2.0 g.

To solve, 9.4 x 1025 molecules H2 x (2.0 g H2 / 6.023 x 1023 molecules H2) = 312. g H2

Step-by-step explanation:

User Ashwin Bande
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7.1k points