(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. 

 molecules 

(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? 
 mol
Jun 26th, 2015

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

DATA:

Volume of gas = 1.8cm3 = 1.8*10-3 dm3

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

Temperature= 20C0 = 293K

Number of molecules = ?

SOLUTION:

PV=nRT

n= PV/RT

n= (1) (1.8*10-3)/(0.0821) (293)

n= 7.4827*10-5 mol

Number of molecules = moles * Avogadro’s number

Number of molecules = 7.4827*10-5 * 6.02*1023

Number of molecules = 4.5045*1019 molecules

DATA:

Volume of gas = 1.8cm3 = 1.8*10-6 m3

Pressure of gas = 2.4*10-11 Pa

Temperature= 20C0 = 293K

Number of moles = ?

SOLUTION:

PV=nRT

n= PV/RT

n= (2.4*10-11) (1.8*10-6)/(8.314) (293)

n= 1.7733*10-20 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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