o Verizon LTE 509 PM 1196 sessionmasteringphysicscom C Probl

o Verizon LTE 5:09 PM 1196 session.masteringphysics.com C Problem 18.27 MasteringPhysics 15 of 18 Problem 18.27 A 15 g sample of neon gas has 1600 J of thermal energy Part A Estimate the average speed of a neon atom. Express your answer to two significant figures and include the appropriate units. 521.18 Varg = 1521.18 Submit Give Up Incorrect; Try Again; 3 attempts remaining Continue>

Solution

KEtot = (3/2)*k*T*N = 1600 J

where k = Boltzmann constant = 1.38*10^-23

N = number of molecules = 6.022*10^23*15/20.18 = 4.48*10^23

So, (3/2)*1.38*10^-23*4.48*10^23*T = 1600

So, T = 172.5 K

So, v,avg = sqrt(3RT/M)

= sqrt(3*8.324*172.5/0.02018)

= 462 m/s