How to Calculate the Amount of Carbon Dioxide in 0.5 Moles of Carbon Dioxide

What is the weight and number of molecules of carbon dioxide in 0.5 moles of carbon dioxide?

Can you provide a step-by-step explanation of the calculation?

Answer:

The weight of 0.5 moles of carbon dioxide is 22 grams. The number of molecules of carbon dioxide in 0.5 moles is...

When calculating the weight of a substance from moles, we can use the formula:

Weight (g) = Number of Moles x Molar Mass

For carbon dioxide (CO2), the molar mass is 44 grams per mole. So, for 0.5 moles of CO2:

Weight (g) = 0.5 moles x 44 g/mol = 22 grams

Therefore, the weight of 0.5 moles of carbon dioxide is 22 grams.

To calculate the number of molecules in 0.5 moles of carbon dioxide, we can use Avogadro's number, which is 6.022 x 10^23 molecules per mole. So:

Number of Molecules = Number of Moles x Avogadro's Number

Number of Molecules = 0.5 moles x 6.022 x 10^23 molecules/mol = 3.011 x 10^23 molecules

Therefore, there are 3.011 x 10^23 molecules of carbon dioxide in 0.5 moles of CO2.

By understanding these calculations, you can accurately determine the weight and number of molecules of a substance based on the number of moles present. This knowledge is crucial for various fields such as chemistry, biology, and physics.