Final answer:
To calculate the number of molecules in 0.01 mol of gas, multiply the amount in moles by Avogadro's number, leading to 6.022 × 10²± molecules.
Step-by-step explanation:
To calculate the number of gas molecules in a cylinder containing 0.01 mol of gas, we use Avogadro's number. Avogadro's number is defined as the number of constituent particles (usually atoms or molecules) that are contained in the amount of substance given by one mole. The value of Avogadro's number is approximately 6.022 × 10²³ particles per mole.
Understanding this concept is integral to chemistry, as it allows us to bridge the gap between the macroscopic world
we observe and the microscopic world of atoms and molecules. Using Avogadro's number, the calculation for the number of molecules in 0.01 mol of gas is straightforward:
Number of molecules (N) = amount of substance in moles (n) × Avogadro's number (NA)
N = 0.01 mol × 6.022 × 10²³ mol⁻¹
N = 6.022 × 10²± molecules
Therefore, there are 6.022 × 10²± molecules of gas in the cylinder.