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AIIMS 2008
Exam
AIIMS
Year
2008
Subject
Physics
Chapter
Kinetic Theory of Gases

AIIMS 2008 · Physics · Kinetic Theory of Gases

A certain gas is taken to the five s t a t e s represented by dots...

A certain gas is taken to the five s t a t e s represented by dots in the graph. The plotted lines are isotherms. Order of the most probable speed vpv_p of the molecules at these five states is A certain gas is taken to the five s t a t e s represented by dots in the graph. The plotted lines are isotherms. Order

Options

  1. A(v_{p \text{ at } 3}>v_{p \text{ at } 1}=v_{p \text{ at } 2}>v_{p \text{ at } 4}=v_p) at 5
  2. B(v_{p \text{ at } 1}>v_{p \text{ at } 2}=v_{p \text{ at } 3}>v_{p \text{ at } 4}=v_p) at 5
  3. C(v_{p \text{ at } 3}>v_{p \text{ at } 2}=v_{p \text{ at } 4}>v_{p \text{ at } 1}=v_{p \text{ at } 5})
  4. Dinsufficient information to predict the result.

Correct answer

A. (v_{p \text{ at } 3}>v_{p \text{ at } 1}=v_{p \text{ at } 2}>v_{p \text{ at } 4}=v_p) at 5

Step-by-step solution

Stages 1 and 2 are at the same temperature. Also stages 4 and 5 are at same temperature. As VpV_p is more at higher temperature and same at all stages at equal temperature. ∴VP3>VP1=VP2>VP4=VP5\therefore \quad V_{P_3}>V_{P_1}=V_{P_2}>V_{P_4}=V_{P_5}.
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