Question:

The stoichiometric reaction of 516 g of dimethyldichlorosilane with water results in a tetrameric cyclic product X in 75% yield. The weight (in g) of X obtained is___. [Use, molar mass (g mol−1): H = 1, C = 12, O = 16, Si = 28, Cl = 35.5] 

Updated On: Sep 29, 2024
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Solution and Explanation

Dimethyldichlorosilane
Number of moles of Dimethyldichlorosilane = \(\frac{516}{129}=4\) mole
 

We can apply POAC on the Si atom.
Moles of tetrameric formed = \(\frac{4}{4}\times\frac{75}{100}=0.75\) moles
The molar mass of the product formed = \(296\times0.75=222\,g\)

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Concepts Used:

Ideal Gas Equation

An ideal gas is a theoretical gas composed of a set of randomly-moving point particles that interact only through elastic collisions.

What is Ideal Gas Law?

The ideal gas law states that the product of the pressure and the volume of one gram molecule of an ideal gas is equal to the product of the absolute temperature of the gas and the universal gas constant.

PV=nRT

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R is the ideal gas constant

Ideal Gas Law Units

When we use the gas constant R = 8.31 J/K.mol, then we have to plug in the pressure P in the units of pascals Pa, volume in the units of m3 and the temperature T in the units of kelvin K.