Problem 1823 Suppose you double the temperature of a gas at

Problem 18.23 Suppose you double the temperature of a gas at constant volume. Do the following change? Part A The average transladional kinetic energy of a molecule. O Doubling the temperature has an effect on Eavg. By what factor does the translational kinetic energy of a molecule change if the temperature is doubled? 1.414 Submit Give Up Incorrect; Try Again; 5 attempts remaining Part E By what factor does the rms speed of a molecule if the temperature is doubled

Solution

The translational KE of the molecule is given by:

KEav = (3/2)*k*T

So, it is dircetly proportional to T(temperature)

So, the KEav will change to 2 times <-------answer

E)

KE = 0.5*mv^2

So, v = sqrt(2KE/m)

So, as KE is 2 times,

v = sqrt(2) = 1.414 times <-------answer