Question

Determine the mass in grams of the following: a. 2.00 mol N2 b. 3.01 x 1023 atoms Cl

Answer 1

The mass of 2.00 mol N2 is 56.04 grams, and the mass of 3.01 x 10^23 atoms Cl is 17.725 grams, considering that 3.01 x 10^23 atoms represent approximately half a mole of chlorine.

Step-by-step explanation:

To determine the mass in grams of 2.00 mol N2 and 3.01 x 1023 atoms Cl, we need to use the molar mass of nitrogen (N2) and chlorine (Cl). The molar mass of N2 (nitrogen gas) is approximately 28.02 g/mol. Using the formula mass = molar mass x number of moles, for nitrogen, the calculation would be 28.02 g/mol x 2.00 mol = 56.04 g.

For chlorine atoms, first, we need to know that the Avogadro's number is approximately 6.022 x 1023, which represents the number of units in one mole of substance. The question asks for the mass of 3.01 x 1023 atoms Cl, which is half a mole because it's approximately half of Avogadro's number. Since the molar mass of Cl is approximately 35.45 g/mol, we calculate the mass of half a mole by dividing the molar mass by 2. So, the calculation for chlorine would be 35.45 g/mol / 2 = 17.725 g.

Answer 2

a. 28.0 g N

b. 17.7 g CI

Work for A:

2.00 mol N x
`(14.00 g N)/(1.00 mol N) = 28.0 g N`

Work for B :

3.01 x
`10^(23)` atms
`((1 mol )/( 6.022 )10^(23)  atms )`
`((35.45g)/(1 mol ) ) = 17.7 g`