Calculate kinetic energy of helium molecules in 1 cm^3 at pressure of 2 atmospheres.
[1 atmosphere= 1.013×10^5 N/m^2]
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Explanation:
kinetic energy of 8 litres
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Give : Volume= 1cm^3, pressure= 2atm
To find: Kinetic energy
Solution: We know that helium molecules are constantly in motion and are colliding with each other and with the walls of the container.
We also know that, Kinetic energy= 3KT/2= 3RT/2
in which T is temperature amd R is constant.
According to the idea gas equation: PV= RT
therefore we can say that K.E.= 3PV/2
where p is pressure exerted by helium gas molecules
V is volume occupied
K.E.=( 3× 2×( 1.013×10^5)× (10^-2)^3)/2
K.E.= 0.3039J
Therefore, the kinetic energy of helium molecules will be 0.3039J.
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