For a first order reaction A(g) to 2 B (g) + C(g) at constant volume and 300 K , the total pressure at the beginning (t = 0 ) and at time t are P_(0) and P_(t), respectively , Initially , only A is present with concentration [A]_(0) and t_(1//3) is the time required for the partial pressure of A to reach 1//3^(rd) of its initial value , the correct option (s) is (are) (Assume that all these gases behave as ideal gases)

For a first order reaction A(g) to 2 B (g) + C(g) at constant volume a

1.	For a first order reaction A(g) to 2 B (g) + C(g) at constant volume and 300 K , the total pressure at the beginning (t = 0 ) and at time t are P_(0) and P_(t), respectively , Initially , only A is present with concentration [A]_(0) and t_(1//3) is the time required for the partial pressure of A to reach 1//3^(rd) of its initial value , the correct option (s) is (are) (Assume that all these gases behave as ideal gases)
Answer» Solution :`A to 2 B + C` t = 0 `"" P_(0)` t = t `"" P_(0) - P "" 2P "" P` `P_(0) + 2P = P_(t)` `K = (1)/(t)` LN `(P_(0))/(P_(0) - P) = (1)/(t)` ln `(P_(0))/(P_(0) - ((P_(t) - P_(0))/(2))` `K = (1)/(t)` ln `(2P_(0))/(3P_(0) - P_(t)) implies - Kt` + ln `2 P_(0)`= ln `(3P_(0) - P_(t))` and `t_(1//3) = (1)/(K)` ln `(P_(0))/(P_(0)//3) = (1)/(K)` ln 3 = constant RATE constant does not depends on concentration