Ideal gas law

The above diagram shows the relationship between the pressure ( y y -axis) and the volume ( x x -axis) of an ideal gas when it changes its state in the order A B C D A . A \to B \to C \to D \to A. The processes A B A \to B and C D C \to D are isobaric processes with pressures 2 P 2P and P , P, respectively. The processes B C B \to C and D A D \to A are isothermal processes with temperatures 2 T 2T and T , T, respectively. Which of the following statements is correct?

a) The volume of the gas at state C C is 4 4 times as large as that at state A . A.
b) The volume of the gas at state B B is greater than that at state D . D.
c) The average speed of the molecules at state C C is 2 2 times as large as that at state A . A.

a) and b) a) and c) a) only b) only

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