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Answer: Estimate the distance (in nanometers) between

Chapter 5, Problem 5.148

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QUESTION:

Estimate the distance (in nanometers) between molecules of water vapor at 100C and 1.0 atm. Assume ideal behavior. Repeat the calculation for liquid water at 100C, given that the density of water is 0.96 g/cm3 at that temperature. Comment on your results. (Assume water molecule to be a sphere with a diameter of 0.3 nm.) (Hint: First calculate the number density of water molecules. Next, convert the number density to linear density, that is, number of molecules in one direction.)

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QUESTION:

Estimate the distance (in nanometers) between molecules of water vapor at 100C and 1.0 atm. Assume ideal behavior. Repeat the calculation for liquid water at 100C, given that the density of water is 0.96 g/cm3 at that temperature. Comment on your results. (Assume water molecule to be a sphere with a diameter of 0.3 nm.) (Hint: First calculate the number density of water molecules. Next, convert the number density to linear density, that is, number of molecules in one direction.)

ANSWER:

Step 1 of 6

According to ideal gas law, the number of moles can be calculated by the following formula.

                                                  ........................(1)

Rearrange the formula(1)

                                                     .......................(2)

                                                                                                         

Here,

P = pressure

V = Volume

n = Number of moles

R = Gas constant

T = Temperature.

 

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