Final answer:
To calculate the number of molecules of CO2 in the given container, we can use the ideal gas law equation and Avogadro's number. After performing the calculations, the number of molecules of CO2 in the container is approximately 8.76 × 10^21 molecules.
Step-by-step explanation:
To calculate the number of molecules of CO2 in the given container, we need to use the ideal gas law equation. The ideal gas law equation is PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.
To calculate the number of moles, we can rearrange the equation as n = PV / RT. Plugging in the given values, we have n = (780 mm Hg * 500.0 ml) / (0.0821 L * atm/mol * K * 135 + 273.15 K). After calculating the value of n, we can convert it into molecules using Avogadro's number, which is 6.022 × 10^23 molecules/mol.
After performing the calculations, the number of molecules of CO2 in the container is approximately 8.76 × 10^21 molecules. Therefore, the correct answer is option 8. 76 × 10^21 molecules.