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A light container having a diatomic gas ...

A light container having a diatomic gas enclosed with in is moving with velocity v. Mass of the gas is M and number of moles is n,
a. What is the kinetic energy of gas w.r.t. centre of mass of the system ?
b. What is K.E. of gas w.r.t. ground ?

Text Solution

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The kinetic erergy of gas w.r.t. centre of mass of the system is the kineitc energy of molecules due to their random motion. This will be the internal energy of the gas.
a. `K.E. = (5)/(2) n RT`
b. Kinetic energy of gas w.r.t. ground = kinetic energy of centre of mass w.r.t. ground + Kinetic energy of gas w.r.t. certre of mass.
`K.E. = (1)/(2) MV^(2) + (5)/(2) n RT`
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