Answer :
There are 2.16 × 10²⁵ molecules in 35.8 moles of CH₄.
How to calculate number of molecules?
The number of molecules in a substance can be calculated by multiplying the number of moles in the substance by Avogadro's number.
According to this question, there are 35.8 moles of methane. The number of molecules can be calculated as follows:
no of molecules = 35.8 × 6.02 × 10²³
no of molecules = 215.516 × 10²³
no of molecules = 2.16 × 10²⁵ molecules
This means that there are 2.16 × 10²⁵ molecules in 35.8 moles of methane.
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Final answer:
The number of molecules in 35.8 moles of CH₄ is calculated by multiplying the amount of moles by Avogadro's number, resulting in approximately 2.155 × 10²⁵ molecules of CH₄.
Explanation:
To answer the question how many molecules are in 35.8 moles of CH₄, you need to use Avogadro's number, which is 6.022 × 10²³ molecules/mol. The calculation involves multiplying the number of moles given by Avogadro's number to find the total number of molecules.
For 35.8 moles of CH₄, the calculation would be:
35.8 moles CH₄ × 6.022 × 10²³ molecules/mol = 2.155 × 10²⁵ molecules of CH₄.
This is a fundamental concept in chemistry known as the mole-molecule conversion, which uses Avogadro's number as a conversion factor to translate between the amount of substance measured in moles and the actual number of discrete particles (molecules).
