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Get Full Access to University Physics - 13 Edition - Chapter 18 - Problem 24e
Get Full Access to University Physics - 13 Edition - Chapter 18 - Problem 24e

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# Modern vacuum pumps make it easy to attain pressures of

ISBN: 9780321675460 31

## Solution for problem 24E Chapter 18

University Physics | 13th Edition

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University Physics | 13th Edition

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Problem 24E

Modern vacuum pumps make it easy to attain pressures of the order of 10-13 atm in the laboratory. Consider a volume of air and treat the air as an ideal gas. (a) At a pressure of 9.00 X 10-14 atm and an ordinary temperature of 300.0 K, how many molecules are present in a volume of 1.00 cm3? (b) How many molecules would be present at the same temperature but at 1.00 atm instead?

Step-by-Step Solution:

Solution 24E Introduction We will use the ideal gas equation to calculate the number of atoms. Step 1 The ideal gas equation is PV = NkT Here k is the boltzmann constant and N is the number of atoms. Using, so we have PV N = kT In the first problem we have 14 9 P = 9.00 × 10 atm = 9.12 × 10 Pa V = 1.00 cm = 1.00 × 10 6 m3 T = 300 K 23 We also know that k = 1.38 × 10 J/K So, from the above equation we have (9.12×10Pa)(1.00×10m ) N = 23 = 2.20 × 106 (1.38×10 J/K)(300 K) 6 Hence there will be 2.20 × 10 number molecules.

Step 2 of 2

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