a brick has a mass of 4.0 kg and the earth has a mass of 6.0×10^27 g. use this information to answer the…

Explanation:

Step1: Convert brick mass to grams

Since 1 kg = 1000 g, a 4.0 - kg brick has a mass of $4.0\times1000 = 4.0\times10^{3}$ g. One mole of any substance contains $6.022\times 10^{23}$ entities.

Step2: Calculate mass of 1 mole of bricks

The mass of 1 mole of bricks is the mass of one brick times Avogadro's number. So $m = 4.0\times10^{3}\text{ g}\times6.022\times 10^{23}=2.4088\times 10^{27}$ g. Rounding to 2 significant digits (because 4.0 has 2 significant digits), the mass is $2.4\times 10^{27}$ g.

Step3: Convert Earth's mass to scientific - notation with correct units

The Earth has a mass of $6.0\times 10^{27}$ g.

Step4: Calculate moles of bricks equal to Earth's mass

Let $n$ be the number of moles of bricks with a mass equal to the mass of the Earth. We know that $n=\frac{\text{Mass of Earth}}{\text{Mass of 1 mole of bricks}}$. Substituting the values, $n=\frac{6.0\times 10^{27}\text{ g}}{2.4\times 10^{27}\text{ g}} = 2.5$ moles.

Answer:

$2.4\times 10^{27}$ $2.5$