Question

What is the mass (in grams) of 8.11×1026 CO2 molecules?

Answer 1

It is 59,275.74 grams

Explanation:

• Molecular mass of carbon dioxide

`= (12 * 1) + (16 * 2) \\ = 12 + 32 \\ = 44 \: g`

[ molar masses: C = 12 g, O = 16 g ]

• From avogadro's number, it says 1 mole contains 6.02 × 10^23 molecules or atoms.

But 1 mole is equivalent to its molar mass in terms of weight, therefore;

`{ \sf{6.02 * {10}^(23) \: molecules = 44 \: g }}\\ { \sf{8.11 * {10}^(26) \: molecules =( \frac{8.11 * {10}^(26) }{6.02 * {10}^(23) } * 44) \: g}} \\ \\ = { \boxed{ \boxed{ \bf{59275.7 \: \: g}}}}`