Different quantities of nitrogen oxide (NO) are listed below - VCE - SSCE Chemistry - Question 3 - 2007 - Paper 1
Question 3
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
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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=MolarVolumeVolume=22.4L/mol6×102L≈26.8mol
Using Avogadro's number, the number of molecules is:
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Answer
This option directly states the quantity of molecules. Therefore, the number of molecules is already given as:
6×103molecules
Step 3
C. 6 × 10² g
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Answer
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=molarmassmass=30g/mol6×102g=20mol
Using Avogadro's number, the number of molecules is:
N=n×NA=20mol×6.022×1023mol−1≈1.204×1025molecules
Step 4
D. 6 mol
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Answer
Using Avogadro's number again, the total number of molecules in 6 mol of NO can be calculated as: