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A vertical cylinder with heat-conducting...

A vertical cylinder with heat-conducting walls is closed at the bottom and is fitted with a smooth light piston. It contains one mole of an ideal gas. The temperature of the gas is always equal to the surrounding\s temperature,`T _(0),` The piston is moved up slowly to increase the volume of the gas to `eta` times. Which of the following is incorrect ?

A

Work done by the gas is `RT_(0)` in `eta.`

B

Work done against the atmosphere is `RT_(0) (eta -1)`

C

There is no change in the internal energy of the gas.

D

The final pressure of the gas is `(1)/((eta -1))` times its initial pressure.

Text Solution

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The correct Answer is:
D
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MOTION-HEAT-2 -EXERCISE-2 (LEVEL-I)
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  13. One mole of a gas expands obeying the relation as shown in the P/V dia...

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  14. An ideal gas expands from volume V (1) to V (2). This may be achieved ...

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  16. In the following P-V diagram two adiabatics cut two isothermals at tem...

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  17. Two curves are given at temperatures T(1) and T(2) in an isothermal pr...

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  18. Three curves are shown in the P-V diagram. P, Q and R represent the pr...

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  19. A vertical cylinder with heat-conducting walls is closed at the bottom...

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