Answer:
0.964× 10²³ molecules
Step-by-step explanation:
Given data:
Number of molecules of CH₄ = ?
Volume = 1.00 L
Temperature = 300 K
Pressure = 4.00 atm
Solution:
First of all we will calculate the number of moles of CH₄ from ideal gas equation.
PV = nRT
n = PV/RT
R = general gas constant = 0.0821 atm. L/mol.K
n = 4.00 atm× 1.00 L / 0.0821 atm. L/mol.K × 300 k
n = 4.00 atm.L / 24.63 atm. L/mol
n = 0.16 mol
Now we will determine the number of molecules by using Avogadro number.
It is the number of atoms , ions and molecules in one gram atom of element, one gram molecules of compound and one gram ions of a substance.
The number 6.022 × 10²³ is called Avogadro number.
1 mole of CH₄ = 6.022 × 10²³ molecules of CH₄
0.16 mol × 6.022 × 10²³ molecules / 1 mol
0.964× 10²³ molecules