At what temperature does the rms speed of Cl2 molecules equal 401 m/s?
http://answers.yahoo.com/question/index?qid=20080929214203AA0eosb
To find the temperature at which the root mean square (rms) speed of Cl2 molecules equals 401 m/s, we can use the root mean square speed formula. The root mean square speed, denoted as vrms, is given by:
vrms = √(3kB * T / m)
where:
- vrms is the root mean square speed
- kB is the Boltzmann constant (1.38 * 10^-23 J/K)
- T is the temperature in Kelvin
- m is the molar mass of Cl2 (70.906 g/mol)
We can rearrange the formula to solve for T:
T = (vrms^2 * m) / (3kB)
Now, substituting the given value vrms = 401 m/s and the molar mass m = 70.906 g/mol:
T = (401^2 * 70.906) / (3 * 1.38 * 10^-23)
Calculating this equation will give us the temperature in Kelvin at which the rms speed of Cl2 molecules equals 401 m/s.