Question

The best laboratory vacuum has a pressure of about 1.00 * 10^{-18} atm, or 1.01 *10^{-13} Pa. How many gas molecules are there per cubic centimeter in such a vacuum at 293 K?

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asked 2021-04-21
The best laboratory vacuum has a pressure of about \(\displaystyle{1.00}\cdot{10}^{{-{18}}}\) atm, or \(\displaystyle{1.01}\cdot{10}^{{-{13}}}{P}{a}\). How many gas molecules are there per cubic centimeter in such a vacuum at 293 K?

Expert Answers (1)

2021-04-23
The gases law is PV = nRT, you solve for n = number of moles:
n=PV/RT where \(\displaystyle{P}={1.01}\times{10}^{{-{13}}}{P}{a},{V}={1}\times{10}^{{-{6}}}{m}^{{{3}}}\), R = 8.31 and T = 293 K, then remember that 1 molehas \(\displaystyle{6.022}\times{10}^{{{23}}}\) molecules
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