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Answer :
To rearrange the quantities of CO2 from smallest to largest, let's convert each one into moles and then compare them.
1. 0.851 moles of CO2:
- This is already in terms of moles, so it remains 0.851 moles.
2. 4.80 x 10^23 molecules of CO2:
- To convert molecules to moles, we use Avogadro's number, which is [tex]\(6.022 \times 10^{23}\)[/tex] molecules/mole.
- Number of moles = [tex]\(\frac{4.80 \times 10^{23}}{6.022 \times 10^{23}} \approx 0.797\)[/tex] moles.
3. 22.4 L of CO2 at STP (Standard Temperature and Pressure):
- At STP, 1 mole of any gas occupies 22.4 liters.
- Therefore, 22.4 L of CO2 is equivalent to 1 mole.
4. 36.3 g of CO2:
- To convert grams to moles, we need the molar mass of CO2, which is 44.01 g/mol.
- Number of moles = [tex]\(\frac{36.3}{44.01} \approx 0.825\)[/tex] moles.
Now that we have all the quantities in moles:
- 0.797 moles (from molecules)
- 0.825 moles (from grams)
- 0.851 moles (already given)
- 1 mole (from volume)
Rearranging them from smallest to largest:
- 0.797 moles (4.80 x 10^23 molecules)
- 0.825 moles (36.3 g)
- 0.851 moles (0.851 moles)
- 1 mole (22.4 L at STP)
So, the order from smallest to largest is:
1. [tex]\(4.80 \times 10^{23}\)[/tex] molecules of CO2
2. 36.3 g of CO2
3. 0.851 moles of CO2
4. 22.4 L of CO2 at STP
1. 0.851 moles of CO2:
- This is already in terms of moles, so it remains 0.851 moles.
2. 4.80 x 10^23 molecules of CO2:
- To convert molecules to moles, we use Avogadro's number, which is [tex]\(6.022 \times 10^{23}\)[/tex] molecules/mole.
- Number of moles = [tex]\(\frac{4.80 \times 10^{23}}{6.022 \times 10^{23}} \approx 0.797\)[/tex] moles.
3. 22.4 L of CO2 at STP (Standard Temperature and Pressure):
- At STP, 1 mole of any gas occupies 22.4 liters.
- Therefore, 22.4 L of CO2 is equivalent to 1 mole.
4. 36.3 g of CO2:
- To convert grams to moles, we need the molar mass of CO2, which is 44.01 g/mol.
- Number of moles = [tex]\(\frac{36.3}{44.01} \approx 0.825\)[/tex] moles.
Now that we have all the quantities in moles:
- 0.797 moles (from molecules)
- 0.825 moles (from grams)
- 0.851 moles (already given)
- 1 mole (from volume)
Rearranging them from smallest to largest:
- 0.797 moles (4.80 x 10^23 molecules)
- 0.825 moles (36.3 g)
- 0.851 moles (0.851 moles)
- 1 mole (22.4 L at STP)
So, the order from smallest to largest is:
1. [tex]\(4.80 \times 10^{23}\)[/tex] molecules of CO2
2. 36.3 g of CO2
3. 0.851 moles of CO2
4. 22.4 L of CO2 at STP
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