Answer to Question #350116 in Physics for Shorna

Question #350116

A closed container of cubic shape is 15 cm on a side contains four times Avogadro's number of molecules at a temperature of 20.0 degree celsius.Calculate the amount of force exerted by the gas on one of the walls of the vessel.



1
Expert's answer
2022-06-13T08:23:29-0400

Given:

a=0.15ma=0.15\:\rm m

N=4NAN=4N_A

T=t+273=293KT=t+273=293\:\rm K



F=pA=NNARTVAF=pA=\frac{N}{N_A}\frac{RT}{V}A

F=NNARTa3a2=NNARTaF=\frac{N}{N_A}\frac{RT}{a^3}a^2=\frac{N}{N_A}\frac{RT}{a}

F=48.312930.15=6.49104NF=4*\frac{8.31*293}{0.15}=6.49*10^4\:\rm N


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