The gas law \(\left(\frac {PV}T\right) =\) constant is true for

  1. isothermal change only
  2. adiabatic change only
  3. both isothermal and adiabatic changes
  4. neither isothermal nor adiabatic changes

Answer (Detailed Solution Below)

Option 3 : both isothermal and adiabatic changes
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Detailed Solution

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CONCEPT:

  • Ideal gas law is obeyed by all hypothetical ideal gases but presents a good approximation of the behavior of many real gases as well.
  • It states that the product of pressure P and volume V of an ideal gas is proportional to its temperature T.

\(\Rightarrow PV \propto T\\ \Rightarrow \frac{PV}{T} = constant\)

EXPLANATION:

  • The law includes all the kinds of processes and changes the gas may undergo and is therefore valid for both isothermal and adiabatic changes. Therefore, option 3 is correct. 

Additional Information

Isothermal process Adiabatic process
For an isothermal process, the temperature of a gas is maintained constant by exchanging heat with the surrounding. The temperature of the gas is a variable for an adiabatic process and no heat is exchanged with the surrounding.
\(\Delta T = 0\) \(\Delta Q = 0\)
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