(a) An ideal gas occupies a volume of 1.8 cm3 at 20°C and atmospheric pressure.

Physics
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(a) An ideal gas occupies a volume of 1.8 cm3 at 20°C and atmospheric pressure. Determine the number of molecules of gas in the container. 

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(b) If the pressure of the 1.8-cm3 volume is reduced to 2.4 ✕ 10−11 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container? 
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Jun 26th, 2015

Thank you for the opportunity to help you with your question!

DATA:

Volume of gas = 1.8cm3 = 1.8e10-3 dm3

Pressure of gas = 1atm (you didn’t mention)

Temperature= 20C0 = 293K

Number of molecules = ?

SOLUTION:

PV=nRT

n= PV/RT

n= (1) (1.8e10-3)/(0.0821) (293)

n= 7.4827e10-5 mol

Number of molecules = moles * Avogadro’s number

Number of molecules = 7.4827e10-5 * 6.02e1023

Number of molecules = 4.5045e1019 molecules

DATA:

Volume of gas = 1.8cm3 = 1.8e10-6 m3

Pressure of gas = 2.4e10-11 Pa

Temperature= 20C0 = 293K

Number of moles = ?

SOLUTION:

PV=nRT

n= PV/RT

n= (2.4e10-11) (1.8e10-6)/(8.314) (293)

n= 1.7733e10-20 mol


Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 26th, 2015

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