What is the root-mean-square speed of chlorine gas molecules at a temperature of 346 k? (r = 8.31 j/mol⋅k, na = 6.02 × 1023, and the molecular mass of cl2 = 71)

The root mean square velocity of chlorine gas would be 11.02m/s.

Explanation:

Root mean square velocity is the square root of the averages of squares of  molecular velocity. This is calculated to take into account the random motion of gaseous molecules in the various direction.

The formula for root mean square velocity is following:

so we are having the following values that are given:

T=346K

R=8.31J/mol.K

Molecular mass of Cl₂=71

So putting the values in equation of root mean square velocity

the answer is option a.

the answers are

c and c