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If the radius of a potassium atom 227 times 10^-7 mm, what is the radius in mu m

ID: 536968 • Letter: I

Question

If the radius of a potassium atom 227 times 10^-7 mm, what is the radius in mu m? A certain liquid has a density of 2.67 g/cm^3. 1340 g of this liquid would occupy a volume of how many Liters? A compound that is composed of only carbon and hydrogen contains 80.0% C and 20.0% H by mass. What is the empirical formula of the compound? The temperature of a 500, mL sample of gas increases from 150. K to 350. K What is the final volume of the sample of gas, if the pressure in the container is kept constant?

Explanation / Answer

1. radius of K atom = 2.27 x 10^-7 mm

                                = 2.27 x 10^-7 x 1000 = 2.27 x 10^-4 um

2. density = mass/volume

So,

volume = 1340 g/2.67 g/cm^3 x 1000

             = 0.502 L

3. moles C = 80/12 = 6.67 mol

moles H = 20/1 = 20 mol

divide by smallest factor

C = 6.67/6.67 = 1

H = 20.6.67 = 3

empirical formula = CH3

4. new volume = initial volume x new temperature/initial temperature

                        = 500 ml x 350/150

                        = 1166.67 ml