Solved: A sugar crystal contains approximately 1.8 × 1017

Solution 55P

Here, we are going to calculate the mass of sugar crystal containing approximately 1.8 x 1017 sucrose molecules.

Step 1:

One mole of any species is that quantity in number having a mass equal to its atomic or molecular mass in grams.

The number of particles (atoms, molecules or ions) present in 1 mole of any substance is fixed, with a value of 6.022 × 1023. This is an experimentally obtained value. This number is called the Avogadro Constant or Avogadro Number.

Step2:

Therefore, 1 mole = molar mass

            1 mole = Avogadro number of particles

Combining the two statements, we get,

        Mass of Avogadro’s number of particles = Molar mass

Therefore, mass of given number of particles = (Molar mass / Avogadro's number) x given number of particles

Thus,

The mass of given sucrose sample = (given number of particles/Avogadro's number) x molar mass