Mr. Robot?

Chemistry Level 2

Morphine (an addictive drug) has the molecular formula $\ce{C17H19NO3}$ .

What is the mass of one molecule of morphine in grams?

(Atomic weights: $\ce{C}=12.01, \ \ce{H}=1.008, \ \ce{N}=14.01, \ \ce{O}=16.00$ )

2.24 \times 10^{-22}

3.58 \times 10^{-21}

3.85 \times 10^{-22}

4.74\times 10^{-22}

1 solution

Chew-Seong Cheong
Sep 3, 2016

One mole of morphine is $= 17 \times 12.01 + 19 \times 1.008 + 14.01 + 3 \times 16.00 = 285.332 \text{ g}$ .

The number molecules in 1 mole of morphine is Avagadro constant $N_A = 6.0221408 \times 10^{23}$

Therefore, the mass of a molecule of morphine $= \dfrac {285.332}{6.0221408 \times 10^{23}} = \boxed{4.74 \times 10^{-22}} \text{ g}$

@achal jain , I have edited your problem wording. You should mention "in grams" in your problem. You can key in chemical formula by putting "\ce{ }" around the chemical equation, as in

You can see the LaTex keystrokes by placing your mouse cursor on top of formula as I have done. You can also click the top-right pull-down menu button and select Toggle LaTex.

Chew-Seong Cheong - 4 years, 9 months ago

I have to study my middle classes again, forgot Avagadro!

Viki Zeta - 4 years, 9 months ago

Mr. Robot?

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