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Different quantities of nitrogen oxide (NO) are listed below - VCE - SSCE Chemistry - Question 3 - 2007 - Paper 1

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Different quantities of nitrogen oxide (NO) are listed below. Which one contains the least number of molecules? A. 6 × 10² L at 273 K and 1 atm B. 6 × 10³ molecules ... show full transcript

Worked Solution & Example Answer:Different quantities of nitrogen oxide (NO) are listed below - VCE - SSCE Chemistry - Question 3 - 2007 - Paper 1

Step 1

A. 6 × 10² L at 273 K and 1 atm

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Answer

To find out the number of molecules in 6 × 10² L of NO at STP (273 K and 1 atm), we can use the Ideal Gas Law. At STP, 1 mole of any gas occupies 22.4 L. Therefore, number of moles can be calculated as:

n=VolumeMolar Volume=6×102 L22.4 L/mol26.8 moln = \frac{Volume}{Molar \ Volume} = \frac{6 \times 10^2 \ L}{22.4 \ L/mol} \approx 26.8 \ mol

Using Avogadro's number, the number of molecules is:

N=n×NA=26.8 mol×6.022×1023 mol11.61×1025 moleculesN = n \times N_A = 26.8 \ mol \times 6.022 \times 10^{23} \ mol^{-1} \approx 1.61 \times 10^{25} \ molecules

Step 2

B. 6 × 10³ molecules

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This option directly states the quantity of molecules. Therefore, the number of molecules is already given as:

6×103 molecules6 \times 10^3 \ molecules

Step 3

C. 6 × 10² g

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To convert grams to moles, we need the molar mass of NO. The molar mass of NO is approximately 30 g/mol. The number of moles in 6 × 10² g can be calculated as:

n=massmolar mass=6×102 g30 g/mol=20 moln = \frac{mass}{molar \ mass} = \frac{6 \times 10^2 \ g}{30 \ g/mol} = 20 \ mol

Using Avogadro's number, the number of molecules is:

N=n×NA=20 mol×6.022×1023 mol11.204×1025 moleculesN = n \times N_A = 20 \ mol \times 6.022 \times 10^{23} \ mol^{-1} \approx 1.204 \times 10^{25} \ molecules

Step 4

D. 6 mol

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Using Avogadro's number again, the total number of molecules in 6 mol of NO can be calculated as:

N=6 mol×6.022×1023 mol13.6132×1024 moleculesN = 6 \ mol \times 6.022 \times 10^{23} \ mol^{-1} \approx 3.6132 \times 10^{24} \ molecules

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