Question

At what temperature will the root-mean-square speed of oxygen molecules have the value of 640 m/s? 1 kilomole of oxygen has a mass of 32kg.

Answer 1

\[Vrms ^{2}=3RT/M\]

Answer 2

where R= 8314 J Kmol^-1 K^-1
M= 32 Kg/Kmol

Answer 3

@Rizki_Zhou what does R mean and its value

Answer 4

R is universal gas constant

Answer 5

The gas constant (also known as the molar, universal, or ideal gas constant, denoted by the symbol R or R) is a physical constant which is featured in many fundamental equations in the physical sciences, such as the ideal gas law and the Nernst equation.
You can read more in here http://en.wikipedia.org/wiki/Gas_constant

Answer 6

@Rizki_Zhou is it 640 = 3 x 8314 x T / 32 ?

Answer 7

you were supposed to took \[640^{2}\], based on the equation.

Answer 8

thanks

Answer 9

v =sqrt(3RT/m)
where m is molar mass (in out case 0.032 kg)
R is gas constant = 8.3
hence we have
T = v^2*m/(3R) =640^2*0.032/(3*8.3) = 526.4 K = 253.25 C