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Artist 52 [7]
3 years ago
6

How many molecules are there in 45.0 grams of CH4?

Chemistry
1 answer:
user100 [1]3 years ago
5 0

Answer:16.93\times 10^{23}\ \text{molecules}

Explanation:

Given

Mass of CH_4 m=45\ gm

Molar mass of CH_4 is 12+4\times1=16

No of moles of CH_4 =\dfrac{\text{Mass}}{\text{Molar mass}}=\frac{45}{16}

No of Molecules in 45gm of CH_4 is

\Rightarrow N_A\times\frac{45}{16}=6.022\times 10^{23}\times \frac{45}{16}\\\Rightarrow 16.93\times10^{23}\ \text{molecules}

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So, the rough formula we have is,

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Now, add one Nitrogen atom to above formula and subtract one Carbon and 2 Hydrogen atoms as these numbers are equal to atomic mass of Nitrogen atom as,

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Also, as shown in ¹³C-NMR there is one peak around 180 ppm and the peak at 1661 cm⁻¹ in IR spectrum is characteristic to carbonyl group hence, we will add one oxygen atom to the chemical formula accordingly. i.e.

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Molecular Formula: C₁₀H₁₃NO

Also,

In NMR the the four peaks around 120 ppm are assigned to a mono substituted benzene ring.

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It can be observed that the peaks in upfield are duplicating. This can be due to the presence of rotamers of said compound.

The most plausible structure for given data is shown below, and the resonance structure along with rotamers are also shown.

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