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Question: A compound was found to contain \(5.37\% \) nitrogen. What is the minimum molecular weight of compou...

A compound was found to contain 5.37%5.37\% nitrogen. What is the minimum molecular weight of compound?

Explanation

Solution

We have to know that the sub-atomic mass of a substance is characterized as the total of the nuclear masses of the multitude of particles present in a particle of a substance. Consequently the general mass of a particle is communicated as nuclear mass units (amu).

Complete answer:
The load in nuclear mass units of every one of the iotas in a given recipe is the sub-atomic load of a substance. A nuclear mass unit is depicted as 112\dfrac{1}{{12}} the heaviness of the carbon- 1212 isotope.
The atomic load of a material is needed to tell an individual the number of grams there in one mole of that synthetic substance. The mole is the ordinary strategy in science for connecting regarding the amount of a substance available.
One particle of the compound should contain in any event one iota of NN . Thus the sub-atomic mass of the compound should contain at least of 1414 pieces of mass of nitrogen.
The 100g100g of compound contains 5.37g5.37g of nitrogen.
Therefore, first we have to calculate the number of moles of nitrogen,
No. of moles = MassMolarmassNo.{\text{ of moles = }}\dfrac{{Mass}}{{Molarmass}}
Where,
The mass = 5.37g5.37g
The molar mass = 14g/mol14g/mol
Applying above values in the number of moles expression,
No. of moles = 5.3714=0.3835molNo.{\text{ of moles = }}\dfrac{{5.37}}{{14}} = 0.3835mol
Therefore, Number of moles is 0.3835mol0.3835mol .
Then, we have to calculate the minimum molecular weight.
By using following expression,
Molecular weight = 100g0.3835molMolecular{\text{ weight = }}\dfrac{{100g}}{{0.3835mol}}
Therefore,
The minimum molecular weight is 260.7g/mol260.7g/mol .

Note:
The actual properties, (for example, progress temperature, thickness, and so forth) and mechanical properties (like strength, solidness, and sturdiness) rely upon the atomic load of polymer. The lower the atomic weight, the lower the change in temperature, thickness, and the mechanical properties.