A fixed amount of an ideal gas goes through the path A $\to$ B $\to$ $C$ $\to$ D shown on the $V$ - $T$ graph below (the dotted lines are extensions through the origin). Which of the following is/are incorrect?

Question

A fixed amount of an ideal gas goes through the path A → B → C → D shown on the V - T graph below (the dotted lines are extensions through the origin). Which of the following is/are incorrect?

TestHub · Accepted Answer

P = n RT / V , so P is proportional to T / V . Take n R = 1 unit: A: T / V = 200/2 = 100. B: 400/4 = 100. C : 400/1 = 400. D: 800/2 = 400. So A to B is constant pressure (a line through the origin), B to C raises the pressure to 4 times, and C to D is again constant pressure. (A) P C ​ = 400 = 4 x 100 = 4PB: true. (B) P D ​ = 400 but P A ​ = 100, so P D ​ = 4PA: this statement is false. ( C ) the pressure rises from B to C , it does not fall: false. (D) The mass is fixed and V = 2 L at both A and D, so the density is equal: true. Incorrect statements: (B) and ( C ). Answer: (B), ( C ).

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