Calculate the number of molecules present in 0.5 moles of CO;?a) 3.011x1023 b) 6.022x1023 c) 1.056 X1023 d) none

1. Break Down the Problem

To find the number of molecules in 0.5 moles of carbon monoxide (CO), we need to use Avogadro's number, which states that one mole of any substance contains $6.022 \times 10^{23}$ particles (molecules, atoms, etc.).

2. Relevant Concepts

The relationship between moles and number of molecules can be described by the formula: $\text{Number of molecules} = \text{Number of moles} \times \text{Avogadro's number}$ where Avogadro's number, $N_A$, is $6.022 \times 10^{23}$ molecules/mole.

3. Analysis and Detail

To apply this to the given problem:

• We have $0.5$ moles of CO.
• Using the formula: $\text{Number of molecules} = 0.5 \, \text{moles} \times 6.022 \times 10^{23} \, \text{molecules/mole}$ Calculating this gives: $\text{Number of molecules} = 0.5 \times 6.022 \times 10^{23} = 3.011 \times 10^{23} \, \text{molecules}$

4. Verify and Summarize

The calculation shows that there are $3.011 \times 10^{23}$ molecules in $0.5$ moles of CO. This matches option (a).

Final Answer

The number of molecules present in 0.5 moles of CO is $3.011 \times 10^{23}$ (option a).