An insulated container containing monatomic gas of molar mass m is moving with a velocity vo. If the container is suddenly stopped, find the change in temperature.
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a
mv02R
b
mv023R
c
mv023R2
d
mv024R
answer is B.
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Detailed Solution
If the container is stopped, then kinetic energy of atom in the container gets converted into heat.K.E.=12μmv0Where v0 is the velocity of the container and µ is the number of moles. It is converted into heat, then 32μRΔT=12μmv02or change in temperature ΔT is given by ΔT=mv023R