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Question

An ideal gas undergoes an isothermal process between states 1 and 2. The applicable equation is:

एक आदर्श गैस अवस्था 1 और 2 के बीच एक समतापी  प्रक्रिया से गुजरती है। लागू समीकरण है:

A.


B.


C.


D.


Answer ( Option B)


Solution

  • For an ideal gas, the product of pressure and volume is a constant if the gas is kept at isothermal conditions (Boyle’s law).
  • According to the ideal gas law, the value of the constant is NKT, where N is the number of molecules of gas, K is Boltzmann’s constant and T is temperature.

This means, pv = NKT

 pv  = constant

p1v1 = p2v2

Hence, the correct option is (B).

&Key Points:-

Isothermal processes typically occurs when a system is in contact with an outside thermal reservoir (heat bath), and the change occurs slowly enough to allow the system to adjust continually to temperature of the reservoir through heat exchange.

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