Question

The area of Pluto is 44,828 mi2 . If a mole of 0.50 mm cubic particles were evenly spread over Pluto, how deep, in meters, would the particles be?

Answer 1

Volume of 1 mole of particles = 6.022*10^23 * (0.55)mm^3
                                            = 3.3121 *10^23 mm^3
                                             =3.3121 *10^23 *10^-9 m^3
                                              =3.3121 *10^14 m^3

surface area = 44828 mi^2
                   = 44828* 2.58999*10^6 m^2
                   = 1.161*10^11 m^2
(since 1 mi^2 = 2.58999*10^6 m^2)

deepness = volume / area
              =(3.3121 *10^14 m^3) / (1.161*10^11 m^2)
              = 2853 m

Answer: 2853 m