Question

a raindrop has a mass of 50. mg and the pacific ocean has a mass of ( 7.08\times10^{20} ) kg. use this information to answer the questions below. be sure your answers have the correct number of significant digits. what is the mass of 1 mole of raindrops? ( 3.0\times10^{22} ) g how many moles of raindrops are in the pacific ocean? 23.5

Explanation:

Step1: Calculate the mass of 1 mole of raindrops

• Convert the mass of one raindrop from mg to g: \(50\space mg=50\times10^{- 3}\space g = 0.05\space g\)
• Use Avogadro's number \(N_{A}=6.022\times10^{23}\space mol^{-1}\)
• The mass of 1 mole of raindrops \(m = 0.05\space g\times6.022\times10^{23}\space mol^{-1}\approx3.0\times10^{22}\space g\)

Step2: Calculate the number of moles of raindrops in the Pacific Ocean

• Convert the mass of the Pacific Ocean from kg to g: \(m_{ocean}=7.08\times10^{20}\space kg = 7.08\times10^{23}\space g\)
• The mass of 1 mole of raindrops \(m_{mole}=3.0\times10^{22}\space g\)
• The number of moles \(n=\frac{7.08\times10^{23}\space g}{3.0\times10^{22}\space g/mol}\approx23.6\approx24\) (rounded to two significant figures)

Answer:

The mass of 1 mole of raindrops is \(3.0\times10^{22}\space g\). The number of moles of raindrops in the Pacific Ocean is \(24\)