Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

(a) An ideal gas occupies a volume of 1.2 cm 3 at 20 An ideal gas occupies a vol

ID: 2263671 • Letter: #

Question

(a) An ideal gas occupies a volume of 1.2 cm3 at 20

An ideal gas occupies a volume of 1.2 cm3 at 20 degree C and atmospheric pressure. Determine the number of molecules of gas in the container. If the pressure of the 1.2-cm3 volume is reduced to 1.2 times 10?11 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container?

Explanation / Answer

a). P = 101325 Pa V = 1.2*10^-6 m^3 T = 273 +20 = 293 kelvin PV = nRT => 101325 *1.2*10^-6 = n*8.314*293 => n = 4.99*10^-5 moles no. of molecules = 6.022*10^23*4.99*10^-5 = 3 *10^19 2). P*V = nRT => 1.2*10^-11*1.2*10^-6 = n*8.314*293 => n = 5.91*10^-21 moles