Q. 20

# For the decomposition of azoisopropane to hexane and nitrogen at 543 K, the following data are obtained.Calculate the rate constant.

When t = 0, the total partial pressure is P0 = 35.0 mm of Hg

When time t = t, the total partial pressure is Pt = P0 + p

P0-p = Pt-2p, but by the above equation, we know p = Pt-P0

Hence, P0-p = Pt-2( Pt-P0)

Thus, P0-p = 2P0 – Pt

We know that time

Where, k- rate constant

[R]° -Initial concentration of reactant

[R]-Concentration of reactant at time ‘t’

Here concentration can be replaced by the corresponding partial pressures.

Hence, the equation becomes,

equation 1

At time t = 360 s, Pt = 54 mm of Hg and P0 = 30 mm of Hg,

Substituting in equation 1,

k = 2.175 × 10-3 s-1

At time t = 720 s, Pt = 63 mm of Hg and P0 = 30 mm of Hg,

Substituting in equation 1,

Thus, k = 2.235 × 10-3 s–1

Taking average, k = (2.235 × 10-3 s–1 + 2.175 × 10-3 s–1)/2

k = 2.21 × 10-3 s–1.

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