Integrated rate law equation for a first order gas phase reaction is given by (where Pi is initial pressure and Pt is total pressure at time t)
- k = 2.303t Pi(2Pi - Pt)
- k = 2.303t (2Pi - Pt)Pi
- k = 2.303t Pi(2Pi - Pt)
- k = 2.303t 2Pi(2Pi - Pt)
Answer
(1) k = 2.303t Pi(2Pi - Pt)
Solution
Take A(g) B(g) + C(g):
t = 0: Pi, 0, 0
time t: Pi - x, x, x
Pt = Pi + x ⇒ x = Pt - Pi
⇒ PA = Pi - x = 2Pi - Pt
∵ For first order, k = 2.303t PiPA
∴ k = 2.303t Pi(2Pi - Pt)
Answer: (1)