Answer :

To determine how many molecules are in 37.6 liters of methane (CH₄), we can follow these steps:

1. Understand the Context:
Methane is a gas, and we are considering its volume at Standard Temperature and Pressure (STP). Under these conditions, we use the concept of molar volume.

2. Use Molar Volume:
At STP, 1 mole of any gas occupies 22.4 liters. This value is the molar volume of a gas at STP.

3. Calculate Moles of Methane:
To find out how many moles of methane are in 37.6 liters, you divide the given volume (37.6 liters) by the molar volume (22.4 liters/mole):

[tex]\[
\text{Moles of methane} = \frac{37.6 \text{ L}}{22.4 \text{ L/mole}} \approx 1.68 \text{ moles}
\][/tex]

4. Use Avogadro's Number:
Avogadro's number tells us that 1 mole of any substance contains approximately [tex]\(6.022 \times 10^{23}\)[/tex] molecules.

5. Calculate the Number of Molecules:
Multiply the number of moles by Avogadro's number to find the total number of molecules:

[tex]\[
\text{Molecules of methane} = 1.68 \text{ moles} \times 6.022 \times 10^{23} \text{ molecules/mole} \approx 1.01 \times 10^{24} \text{ molecules}
\][/tex]

As a result, 37.6 liters of methane contain approximately [tex]\(1.01 \times 10^{24}\)[/tex] molecules.

Thanks for taking the time to read How many molecules does 37 6 L of methane CH₄ contain. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada