MHT CET202416 May 2024Morning ShiftChemistryStates of MatterActual
Which of the following equations gives combined relationship of Boyle's law and Charle's law?
Options
- AP ₁ ~V ₂ ~T ₁ = P ₂ ~V ₁ ~T ₂
- Bn = RT PV
- CP₁ V₁ T₁ = P₂ V₂ T₂
- Dp = RT nV
Correct answer
C. P₁ V₁ T₁ = P₂ V₂ T₂
Step-by-step solution
Charles' law is the change in volume with respect to temperature at constant pressure, while Boyle's law is the change in volume with respect to pressure at a constant temperature. Taking a gas of volume (V₁ ), pressure (P₁ ) and temperature (T₁ ), and let its change have a state ( ( V ₂, P ₂, ~T ₂ ) ), then according to Boyle's law, (P₁ V₁=P₂ V₂ . . . .(1) ) Then keeping this constant pressure, move to state ( ( V ₂, P ₂, ~T ₂ ) ) using Charles' law, ( V ₂ ~T ₁ = V ₂ ~T ₂ . . . .(2) ) Solving for (V₂ ), in both (1