The ideal gas law is equivalent to Charles's law when number of moles and pressure are constant (option D)
Ideal gas equation
PV = nRT
Where
- P is the pressure
- V is the volume
- n is the number of mole
- R is the gas constant
- T is the temperature
Charles' law
Charles' law states as follow:
V₁ / T₁ = V₂ / T₂
Where
- V₁ is the initial volume
- T₁ is the initial temperature
- V₂ is the new volume
- T₂ is the new temperature
How to relate ideal gas equation to Charles' law
PV = nRT
Divide both side by T
PV / T = nR
Divide both side by P
V / T = nR / P
Let nR / P be costant
V / T = constant
Thus,
V₁ / T₁ = V₂ / T₂
From the above illustrations, we can conclude that the ideal gas equation will become Charles' law equation if the number of mole and pressure are constant (Option D)
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