ch19-p039 - 39. (a) The root-mean-square speed is given by...

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39. (a) The root-mean-square speed is given by rms 3 vR T M = . See Eq. 19-34. The molar mass of hydrogen is 2.02 × 10 –3 kg/mol, so () ( ) 3 rms 3 3 8.31J mol K 4000K 7.0 10 m s. 2.02 10 kg mol v == × × (b) When the surfaces of the spheres that represent an H 2 molecule and an Ar atom are touching, the distance between their centers is the sum of their radii: d = r 1 + r 2 = 0.5 × 10 –8 cm + 1.5 × 10 –8 cm = 2.0 × 10 –8 cm. (c) The argon atoms are essentially at rest so in time
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