Answer:
a) vavg = 16.59 m/s
b) vrms= 26.42 m/s
c) the most probable speed is the average speed = 16.59 m/s (since the is no particle with 16.59 m/s → 16m/s is the most probable speed observed)
Explanation:
a) the average velocity will be
vavg =( 1/total number of particles )*∑ velocity * number of particles
= (2*11 + 4*16 + 4*22 +3*25 + 6*31 + 1*34 + 2*41)/ (2 + 4 + 4 +3 + 6 + 1 + 2) = 16.59 m/s
b) the root mean squared speed (rms) will be
vrms=√[( 1/total number of particles )*∑ velocity² * number of particles] = √[ (2*11² + 4*16² + 4*22² +3*25² + 6*31² + 1*34² + 2*41²)/ (2 + 4 + 4 +3 + 6 + 1 + 2)] = 26.42 m/s
c) if any particle is chosen at random then the probability of choosing that particle will be the given be the fraction of particles over the total , and thus the expected speed (most probable speed ) will be the average speed = 16.59 m/s ( since the is no particle with 16.59 m/s → 16m/s is the most probable speed observed)
