Question

Calculate the root mean square speed of methane molecules at 27°c

Answer 1

Speed is the effect of the note to choose a orientation

Answer 2

Answer: The root mean square speed is, $683.8m/s$

Explanation:

The formula used for root mean square speed is:

$\nu_{rms}=\sqrt{\frac{3kN_AT}{M}}$

where,

$\nu_{rms}$ = root mean square speed

k = Boltzmann’s constant = $1.38\times 10^{-23}J/K$

T = temperature = $27^0C=(27+273)=300 K$

M = atomic mass of methane = 16g/mol

$N_A$ = Avogadro’s number = $6.02\times 10^{23}mol^{-1}$

Now put all the given values in the above root mean square speed formula, we get:

$\nu_{rms}=\sqrt{\frac{3\times (1.38\times 10^{-23}J/K)\times (6.02\times 10^{23}mol^{-1})\times (300K)}{16\times 10^{-3}kg/mol}}$

$\nu_{rms}=683.8m/s$

The root mean square speed is, $683.8m/s$