Question

A brick has a mass of 4.0kg and the earth has a mass of 6.0*10^27g.

what is the mass of 1 mole of bricks?
how many moles of bricks have a mass equal to the mass of the earth?

Answer 1

`\boxed{\text{6.022 $* 10^(23)$ kg; 2.5 $* 10^(-4)$\ mol}}`

Step-by-step explanation:

1. Mass of 1 mol of bricks

`m = 6.022 * 10^(23)\text{ bricks} * \frac{\text{4.0 kg}}{\text{ 1 brick}} = 2.4 * 10^(24)\text{ kg}\\\\\text{The mass of 1 mol of bricks is }\boxed{\textbf{2.4 $*\mathbf{10^(24)}$ kg}}`

2. Number of moles

(a) Convert grams to kilograms

`6.0 * 10^(24)\text{ g} = 6.0 * 10^(21)\text{ kg}`

(b) Convert kilograms to moles

`n = 6.0 * 10^(21)\text{ kg} * \frac{\text{1 mol bricks }}{2.4 * 10^(24)\text{ kg}} = \text{0.0025 mol bricks}\\\\\text{The mass of the Earth equals the mass of }\boxed{\textbf{0.0025 mol of bricks}}`

Answer 2

Answer: The mass of 1 mole of brick is
`24.088* 10^(26)g` and the moles of brick having same mass as earth is 2.49 moles.

Step-by-step explanation:

We are given:

Mass of a brick = 4.00 kg = 4000 g (Conversion factor: 1 kg = 1000 g)

According to mole concept:

`6.022\time 10^(23)` number of atoms are contained in 1 mole of an atom.

As, mass of 1 brick is 4000 g

So, mass of
`6.022* 10^(23)` number of bricks will have =
`(4000)/(1)* 6.022* 10^(23)=24.088* 10^(26)g`

Now, calculating the moles of brick having the mass equal to the mass of Earth.

Mass of Earth =
`6* 10^(27)g`

To calculate the moles of bricks, we apply unitary method, we get:

`24.088* 10^(26)g` of mass is occupied by 1 mole of brick

So,
`6.0* 10^(27)g` of mass will be occupied by
`(1)/(24.088* 10^(26))* 6.0* 10^(27)=2.49moles`

Hence, the mass of 1 mole of brick is
`24.088* 10^(26)g` and the moles of brick having same mass as earth is 2.49 moles.