Physics, asked by baba62, 1 year ago

calculate the rms speed of helium atoms at 27c

Answers

Answered by sanak132001
11
m=molar mass of Nitrogen=28 gm./mol =2.8 x 10 ⁻² kg/mol
Temperature=T=273 +27 =300K
R=gas constant=8.314 joules/.mol K
To calculate RMS speed :
Formula:
μ=√3RT/M
=√(3*8.314*300)/(2.8x10⁻²)
=√267235.7
=516.9m/s
∴RMS of Nitrigen gas at 27 °c is 516.9m/s
Answered by HanitaHImesh
5

•The rms speed of He atoms is calculated by the formula vrms= √(3kT/m) = √(3RT/m)

Where, vrms is the root mean square of the velocity,

k is Boltzmann constant,

m is the molar mass of the gas,

R is the universal gas constant, and

T is the temperature.

•molar mass of He atoms, m= 4.002/10³ kg/mol

•Temperature, T= 273+27 = 300K

•Gas constant, R= 8.314 J/mol.K

•So, vrms is given as

vrms= √[(3x8.314x300)/(4.002/10³)]

= 2159 m/s.

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