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A cubical box of side 1 m contains heliu...

A cubical box of side `1 m` contains helium gas (atomic weight 4) at a pressure of `100 N//m^2`. During an observation time of `1 second`, 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 `R = (25)/3 j //mol - K and k = 1.38 xx 10^-23 J//K`.
(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.

Text Solution

Verified by Experts

The correct Answer is:
`160 K,3.3xx10^_21J,0.3gm`
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BANSAL-KINETIC THEORY OF GASES-Exercise-4
  1. An ideal gas is taken through the cycle AtoBtoCtoA, as shown in the fi...

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  2. Which of the following graphs correctly represents the variation of be...

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  3. A cubical box of side 1 m contains helium gas (atomic weight 4) at a p...

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  4. The PT diagram for an ideal gas is shown in the figure, where AC is an...

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  5. An insulated container containing monoatomic gas of molar mass s is mo...

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  6. An ideal gas expands isothermally from volume V(1) to V(2) and is then...

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  7. The piston cylinder arrangement shon contains a diatomic gas at temper...

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  8. An ideal gas is filled in a closed rigid and thermally insulated conta...

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  9. When temperature of a gas is 20^@C and pressure is changed from p(1)= ...

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  10. A cylinder of mass 1kg is given heat of 20,000J at atmospheric pressur...

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  11. Match the following for the given process: {:(column 1,Column2),((A)...

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  12. The piston I s now pulled out slowly and held at a diatance 2L from th...

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  13. While the piston is at a distance 2L from the top, the hole at the top...

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  14. The piston is taken completely out of the cylinder. The hole at the to...

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  15. Statement-1: The total translational kinetic energy of fall the molecu...

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  16. An ideal gas is expanding such that PT^(2)= constant. The coefficient ...

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  18. Cv and Cp denote the molar specific heat capacities of a gas at consta...

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  19. The figure shows the P-V plot of an ideal gas taken through a cycle AB...

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  20. A real gas behaves like an ideal gas if its

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