How many molecules are in 1200 g of acrylonitrile (C3H3N), a chemical used in the production of plastic Help

Taking into account the definition of Avogadro's number, 1.36×10²⁵ molecules of C₃H₃N are in 1200 g.

Avogadro's Number or Avogadro's Constant is called the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance. Its value is 6.023×10²³ particles per mole. Avogadro's number applies to any substance.

The molar mass of substance is a property defined as its mass per unit quantity of substance, in other words, molar mass is the amount of mass that a substance contains in one mole.

The molar mass of a compound (also called Mass or Molecular Weight) is the sum of the molar mass of the elements that form it (whose value is found in the periodic table) multiplied by the number of times they appear in the compound.

In this case, you know the molar mass of the elements is:

So, the molar mass of the compound C₃H₃N is calculated as:

C₃H₃N= 3× 12 g/mole + 3× 1 g/mole + 14 g/mole

Solving:

C₃H₃N= 53 g/mole

You have 1200 g of C₃H₃N. So, knowing its molar mass, you can calculate the number of moles that contain a mass of 1200 g as:

1200 g×= 22.64 moles

Then you can apply the following rule of three: If by definition of Avogadro's number 1 mole of C₃H₃N contains 6.023×10²³ molecules, 22.64 moles of C₃H₃N contains how many molecules?

amount of molecules of C₃H₃N= (22.64 moles × 6.023×10²³ molecules)÷ 1 mole

amount of molecules of C₃H₃N= 1.36×10²⁵ molecules

Finally, 1.36×10²⁵ molecules of C₃H₃N are in 1200 g.

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Explanation:

According to avogadro's law, 1 mole of every substance contains avogadro's number of particles.

To calculate the moles, we use the equation:

1 mole of acrylonitrile has = molecules

Thus 22.62 moles of  acrylonitrile has = molecules