Two different adiabatic curves for the same gas intersect two isothermals at `T_(1), and T_(2)` as shown in `P-V` diagram, (figure). How does the ratio `(V_(a)//V_(d))` compare with the ratio `(V_(b)//V_(c))` ?

Two different adiabatic curves for the same gas intersect two isotherm

1.	Two different adiabatic curves for the same gas intersect two isothermals at `T_(1), and T_(2)` as shown in `P-V` diagram, (figure). How does the ratio `(V_(a)//V_(d))` compare with the ratio `(V_(b)//V_(c))` ?
Answer» Correct Answer - Same For adiabatic curve BC: `T_(1)V_(b)^((gamma-1))= T_(2)V_(c)^((gamma-1))` For adiabatic curve AD: `T_(1)V_(a)^((gamma-1))= T_(2)V_(d)^((gamma-1))` Dividing we get `((V_(a))/(V_(b)))^((gamma-1))= ((V_(d))/(V_(c)))^((gamma-1)) or (V_(a))/(V_(b))=(V_(d))/(V_(c))` `:. (V_(a))/(V_(d))=(V_(b))/(V_(c))` i.e., the ratio remains the same.

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Two different adiabatic curves for the same gas intersect two isothermals at `T_(1), and T_(2)` as shown in `P-V` diagram, (figure). How does the ratio `(V_(a)//V_(d))` compare with the ratio `(V_(b)//V_(c))` ?

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