Question

What is the mass of 2.2x10^9 molecules of CO2? *​

Answer 1

The mass of 2.2x10^9 molecules of CO2 is approximately 1.61x10^-13 grams, calculated by first converting molecules to moles using Avogadro's number and then multiplying by the molar mass of CO2.

Step-by-step explanation:

To calculate the mass of 2.2x109 molecules of CO2, we first need to convert the number of molecules to moles using Avogadro's number, which is 6.022x1023 molecules per mole. Then we can use the molar mass of CO2 to find the mass in grams.

First, to find the number of moles:

(2.2x109 molecules of CO2) / (6.022x1023 molecules/mol) = 3.65x10-15 mol CO2

Now, with the molar mass of CO2 being 44.01 g/mol:

(3.65x10-15 mol CO2) x (44.01 g/mol) = 1.61x10-13 g CO2

Therefore, the mass of 2.2x109 molecules of CO2 is approximately 1.61x10-13 grams.

Answer 2

Answer: 9.68 x 10^10 grams.

Step-by-step explanation:

Given that:

Mass of CO2 = ?

Number of molecules of CO2 = 2.2x10^9 molecules

Molar mass of CO2 = ? (let unknown value be Z)

For the molar mass of CO2: Atomic mass of Carbon = 12; Oxygen = 16

= 12 + (16 x 2)

= 12 + 32 = 44g/mol

Apply the formula:

Number of molecules = (Mass of CO2 in grams/Molar mass)

2.2x10^9 molecules = Z/44g/mol

Z = 2.2x10^9 molecules x 44g/mol

Z = 9.68 x 10^10g

Thus, the mass of 2.2x10^9 molecules of CO2 is 9.68 x 10^10 grams.