The rms speed will be 500 m/s
<h3>What is Root mean square speed ?</h3>
Root mean square speed (Vrms) is defined as the square root of the mean of the square of speeds of all molecules.
Root mean square speed (vrms) Root mean square speed (vrms) is defined as the square root of the mean of the square of speeds of all molecules
It is given that
Speed of a diatomic hydrogen molecule,2000 m/s
Mol of diatomic hydrogen,1.0
Temperature,50°C
The rms speed of diatomic molecule will be:
√(3KT)/( m)
The translational kinetic energy of a gas molecule is given as:
K.E = (3/2)KT
K.E = (1/2) mv²
where,
v = root mean square velocity
m = mass of one mole of a gas
(3/2)KT = (1/2) mv²
v = √(3KT)/m
FOR H₂: v = √(3KT)/m = 2000 m/s
Here,
mass of 1 mole of oxygen = 16 m
velocity of oxygen = √(3KT)/(16 m)
velocity of oxygen = (1/4) √(3KT)/m
velocity of oxygen = (1/4)(2000 m/s) = 500 m/s
Therefore the rms (root-mean-square) speed of a oxygen molecule at 50∘c is 500m/s.
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