Answer to Question #283149 in Physics for Kimgcash

Question #283149

Neon is a monatomic gas, in which inter-molecular forces are extremely weak. 1.00 kg


of neon gas has a density of 0.828 kgm-3 at 100 kPa and 293 K. Find the :


(a) average kinetic energy of each gas molecule


(b) total kinetic energy of the gas.


(c) Root-mean-square speed (crms)


If the neon gas is compressed to double its density, while keeping the temperature the


same:


(d) What are the values for (a)-(c) at the new pressure and volume?

1
Expert's answer
2022-01-04T10:23:10-0500

a)


KEm=12mvrms2=6.081021 J.KE_m=\dfrac12 mv_\text{rms}^2=6.08·10^{-21}\text{ J}.

b)


KE=32kbNT=3.031019 J.KE=\dfrac32 k_bNT=3.03·10^{-19}\text{ J}.


c)


vrms=3RTM=605 m/s.v_\text{rms}=\sqrt\dfrac{3RT}{M}=605\text{ m/s}.


d)


KEm=12mvrms2=6.081021 J. KEg=32kbNT=3.031019 J. vrms=3RTM=605 m/s.KE_m=\dfrac12 mv_\text{rms}^2=6.08·10^{-21}\text{ J}.\\\space\\ KE_g=\dfrac32 k_bNT=3.03·10^{-19}\text{ J}.\\\space\\ v_\text{rms}=\sqrt\dfrac{3RT}{M}=605\text{ m/s}.


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