Question

If we have a pure $C{H}_{3}OH$ sample and it contains a total of 6000 hydrogen atoms, find the number of $C{H}_{3}OH$ molecules present in the sample.

• A. 1200
• B. 1000
• C. 1500
• D. 800

Answer 1

The correct option is C 1500

1 mole of $C{H}_{3}OH$ contains 4 moles of H atoms.
So, we can say that 4 moles of H-atoms are present in 1 mole of $C{H}_{3}OH.$
Again, $6.022\times {10}^{23}$ H-atoms = 1 mole of H-atoms
Therefore, 6000 H - atoms $=\frac{6000}{6.022\times {10}^{23}}$ moles of H-atoms
Hence, the number of $C{H}_{3}OH$ molecules present in the sample
$=\frac{6000}{6.022\times {10}^{23}}\times \frac{1}{4}\times 6.022\times {10}^{23}=1500$