If a 0.10−mL volume of oil can spread over a surface of water of about 47.0 m2 in area, calculate the thickness of the layer in centimeters. Enter your answer in scientific notation.

Respuesta :

Answer:

[tex]2.1276595745\times 10^{-7}\ cm[/tex]

Explanation:

Volume of oil = 0.1 mL = 0.1 cm³

Area of oil = [tex]47\ m^2[/tex]

Converting to [tex]cm^2[/tex]

[tex]1\ m=10^2\ cm[/tex]

[tex]1\ m^2=10^4\ cm^2[/tex]

[tex]47\ m^2=47\times 10^4\ cm^2[/tex]

Volume is given by

[tex]V=At\\\Rightarrow t=\dfrac{V}{A}\\\Rightarrow t=\dfrac{0.1}{47\times 10^4}\\\Rightarrow t=2.1276595745\times 10^{-7}\ cm[/tex]

The thickness of the layer is [tex]2.1276595745\times 10^{-7}\ cm[/tex]