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A gas expands in a piston-cylinder devic...

A gas expands in a piston-cylinder device from volume `V_(1)` to `V_(2)`, the process being described by `P = a//V + b`, a and b are constants. Find the work done in the process.

A

`a ln (V_(1))/(V_(2)) + b (V_(2) = V_(1))`

B

`-a ln (V_(2))/(V_(1)) - b (V_(2) - V_(1))~

C

`- a ln (V_(1))/(V_(2)) - b (V_(2) - V_(1))`

D

`a ln (V_(2))/(V_(1)) + b (V_(2) - V_(1))`

Text Solution

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The correct Answer is:
D
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MOTION-Thermodynamics-EXERCISE - 2
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  2. Consider the two process on a system as shown in figure. The volumes i...

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  3. A gas expands in a piston-cylinder device from volume V(1) to V(2), th...

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  4. A sample of an ideal gas is expanded to twice its original volume of 1...

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  5. There are two parts of a vessel. The pressure in one part is P and its...

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  6. A gas is contained in a metallic cylinder fitted with a piston.The pis...

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  7. The figure shows the graph of logarithmic reading of pressure and volu...

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  8. Two identical containers A and B with frictionless pistons contain the...

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  9. A monoatomic ideal gas, initially at temperature T1, is enclosed in a ...

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

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

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  12. In a thermodynamic process two moles of a monatomic ideal gas obeys PV...

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  13. A certain amount of an ideal monatomic gas needs 20 J of heat energy t...

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  14. The pressure P of an ideal diatomic gas varies with its absolute tempe...

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  15. The variation of pressure P with volume V for an ideal diatomic gas is...

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  16. The specific heat of a gas in a polytropic process is given by-

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  17. Work done in the cyclic process shown in figure is-

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  18. A P-T graph is shown for a cyclic process. Select correct statement re...

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  19. One mole of monatomic gas is brought from state A to state B. The init...

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  20. One mole of monatomic gas is brought from state A to state B. The init...

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