Even the best vacuum pumps cannot lower the pressure in a container below 10−15atm. How many molecules of air are left in each cubic centimeter in this "vacuum”? Assume that the temperature is 274 K.
answer) from the gas eqn we have the formula
PV=nRT
n=PV/RT
P=10-15atm
V=1cm3=0.001L
R=0.08205746Latm
T=274K
so plugging the values we have
n=10-15*0.001L/0.08205746*274=4.4477*10-20mol
now we have to multiply this avogadros number
n=4.4477*10-20mol*6.022*1023molecules/mol=2.68*104 moles
so the answer is 26784 molecules or 3.0*104 molecules or 2.7*104 molecules or 2.68*104 molecules.
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