Heat and Thermodynamics 4 Question 41
44. A cubical box of side contains helium gas (atomic weight 4 ) at a pressure of . During an observation time of , an atom travelling with the root mean square speed parallel to one of the edges of the cube, was found to make 500 hits with a particular wall, without any collision with other atoms. Take, and .
(a) Evaluate the temperature of the gas.
(b) Evaluate the average kinetic energy per atom.
(c) Evaluate the total mass of helium gas in the box.
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Solution:
- Volume of the box
Pressure of the gas
Let
(a) Time between two consecutive collisions with one wall
(b) Average kinetic energy per atom
(c) From
We get mass of helium gas in the box,
Substituting the values, we get