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The lowest pressure attainable using the best available vacuum techniques is about 10−12N/m2
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The lowest pressure attainable using the best available vacuum techniques is about 10−12N/m2. |
Part A At such a pressure, how many molecules are there per cm3 at 13 ?C? Express your answer using two significant figures. |
Expert Solution
We are given P = 10-12 N/m2 ,
Volume, V = 1 cm3= 10-6 m3 and
T=13oC= 13+273= 286 K
Using gas law, P*V = n R T, where n is number of moles and R=8.314JK-1.
n = PV/(RT) => n = 10-12*10-6/(8.314*286) = 4.205*10-22 moles
Hence number of molecules = number of moles * Avogadro's number
= 4.205*10-22 moles * 6.023*1023 molecules/mole
= 253
Number of molecules = 250 (upto 2 significant figures)
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