Question

Find the ratio of the number of water molecules in one tablespoon of water to the number of tablespoons of water on the entire earth.

FIND THE RATIO OF THE NUMBER OF WATER MOLECULES IN ONE TABLESPOON OF WATER TO THE NUMBER OF TABLESPOONS OF WATER ON THE ENTIRE EARTH

Answer 1

The volume corresponding to 1 table spoon is Vitteab = 1.5 x10-m3 Mass of I table spoon of water is Mitsp - Pracker Vi tbsp Mathip = 1000 kg / m3 x 1.5 x16.5 m3 Mittel = 1,5x10-2 kg y losse = 1.5x10 ² x 103g Mitsp = 15g The number of moles of water in 15g are - Minh 15 g = 0.8333 mol - Molar weight 18 g/mol The number of molecules in 0.8333 moles of water ar Nan Na= 0.8333X 6.0 2x1023 N = 5x1023 There are 5x10 23 molecules in Itable spoon of water.

Assuming Earth to be sphere of radius R= 6.4x10m the volume of Earth is Versih = el t = 4 T (6.4 x10 m² Vearth = 1.1x10? m? The number of tablespoons that will be equal to the volume of Earth are N'- Vearth = lol x 70%"m? 7.33 x165 1.5x105 m3 = The required ratio is N 5x102 = 733 x1025 N = 6.8 x103 Vitbsp