Question

How many molecules of CO2 are produced when 5.0 moles of CaCO3 decompose?

A) 3.01 x 10^23 molecules

B) 1.51 x 10^24 molecules

C) 9.03 x 10^22 molecules

D) 7.26 x 10^24 molecules

Answer 1

When 5.0 moles of CaCO3 decompose, they produce 5.0 moles of CO2. Using Avogadro's number, the calculation shows that there should be 3.01 x 10^24 molecules of CO2, which is not one of the provided options. There might be an error in the options given.

Step-by-step explanation:

To determine how many molecules of CO2 are produced when 5.0 moles of CaCO3 decompose, we need to examine the balanced chemical equation for the decomposition of calcium carbonate:

CaCO3 → CaO + CO2

According to the equation, 1 mole of CaCO3 yields 1 mole of CO2. Therefore, 5.0 moles of CaCO3 will produce 5.0 moles of CO2.

Next, we use Avogadro's number (6.022 × 1023 molecules/mole) to convert moles of CO2 to molecules:

5.0 moles of CO2 × 6.022 × 1023 molecules/mole = 3.01 × 1024 molecules of CO2

Therefore, the correct answer is B) 1.51 × 1024 molecules, but this is based on the calculation. Since there's a discrepancy, please double-check the calculation:

5.0 moles × 6.022 × 1023 molecules/mole = 3.011 × 1024 molecules of CO2

The correct answer should then be 3.01 × 1024 molecules of CO2, but this is not one of the options provided. There may be a mistake in the options given, and the issue should be clarified with the question provider.