##### At what temperature would the rms speed of neon-20 atoms equal the following spe

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At what temperature would the rms speed of neon-20 atoms equal the following speeds? (Note: The mass of a neon-20 atom is 3.32 ✕ 10−26 kg.)

(a) the escape speed from Earth, 1.12 ✕ 104 m/s
K

(b) the escape speed from the Moon, 2.37 ✕ 103 m/s
K
Jun 21st, 2015

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Jun 21st, 2015
According to Kinetic theory of gases we know that

Kinetic energy  (½mv²) = (3/2) kT

or ;   mv² = 3kT
T = mv² / 3k .. ..

v = escape velocity , k = Boltzmann constant 1.38^-23 J/(K.particle) &

T = temperature  K

(a) the escape speed from Earth, 1.12 ✕ 104 m/s
T = 3.32* 10^-26 kg x (1.12 *10^4 m/s)² / (3 x 1.38*10^-23) .. .. T = 1.0 x 10 ^5 K

(b)  the escape speed from the Moon, 2.37 ✕ 103 m/s
T = 3.32* 10^-26 kg x (2.37 *10^3 m/s)² / (3 x 1.38*10^-23) .. .. T = 4.5 x 10 ^3 K

Jun 21st, 2015

are you suer

Jun 21st, 2015

?

Jun 21st, 2015

yes

Jun 21st, 2015
Jun 21st, 2015

yes it is correct

Jun 21st, 2015

thanks ...

Jun 21st, 2015

any other problem ???

Jun 21st, 2015

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Jun 21st, 2015
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Jun 21st, 2015
Oct 20th, 2017
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