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A change in pressure and volume of a gas...

A change in pressure and volume of a gas when no heat is allowed to enter into a escape from the gas is called an adiabatic change. Obviously, temperature of gas will change in adiabatic changes.
Two essential conditions for a perfect adiabatic chage are:
(a) the wall of the container must be perfectly non conducting.
(b) the process of compression or expansion must be sudden.
Read the above passage and answer the following questions:
(i) Pressure on a certain volume of air is doubled adiabatically. Will its volume become half, more than half or less than half? Justify.
(ii) What value of life do you learn from this study?

Text Solution

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(i) The equation of adiabatic changes is `PV^(gamma)= constant`, where `gamma= 1.4` for air. When `P` is doubled. `V^(gamma)` becomes `//2`. As `gamma=1.4`, therefore, `V` becomes more than half.
(ii) If temperature of a gas corresponds to the state of mind of a person, the study implies that when you isolate yourself from the society, neither giving help nor taking any help, you have to face the ups and downs of life (i.e., change in temperature). Your state of mind or peace of mind is at stake.
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A change in pressure and volume of a gas without any change in its temperature is called an isothermal change. In such a change there is free exchange of heat between the gas and its surroundings. Two essential conditions for a perfect isothermal change are : (i) Walls of the container must be perfectly conducting (ii)The process of compression or expansion must be slow. Read the above passege and answer the following questions: (i) A gas atmospheric pressure is compressed isthermally to one third of its volume. What is the final pressure? (ii) What values of life do you learn from this study?

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