A bottle with 18.02 grams of water contains 6.0221 x 10^23 molecules of water. A ream of paper is 2.00 inches thick and contains 500.0 pieces of paper. If a stack of paper contained 6.0221 x 10^23 pieces of paper, how high would the stack of papers be in miles?

Respuesta :

A stack of paper containing 6.0221 × 10²³ pieces of paper has a height of 3.80 × 10¹⁶ miles.

A ream of paper is 2.00 inches thick and contains 500.0 pieces of paper. The thickness of 1 piece of paper is:

[tex]\frac{2.00in}{500.0paper} =4.00 \times 10^{-3} in/paper[/tex]

Each piece of paper has a thickness of 4.00 × 10⁻³ in. The height of a stack of paper containing 6.0221 × 10²³ pieces of paper is:

[tex]6.0221 \times 10^{23} paper \times 4.00 \times 10^{-3} in/paper = 2.41 \times 10^{21} in[/tex]

Finally, we will convert 2.41 × 10²¹ inches to miles using the conversion factor 1 mi = 63360 in.

[tex]2.41 \times 10^{21} in \times \frac{1mi}{63360in} = 3.80 \times 10^{16} mi[/tex]

A stack of paper containing 6.0221 × 10²³ pieces of paper has a height of 3.80 × 10¹⁶ miles.

You can learn more about unit conversion here: https://brainly.com/question/19420601