For a unimolecular decomposition

CHEMISTRY · Single correct · AP · Chemistry · Kinetics · Kinetics

Problem

For a unimolecular decomposition, the uncatalyzed pathway has an activation energy of 125 kJ mol

^{-1}

and a measured rate constant of

k_\text{uncat}=2.0\times10^{-7}\,\text{s}^{-1}

at 298 K. A catalyst provides an alternative pathway with an activation energy of 75 kJ mol

^{-1}

. Assuming the pre-exponential factor

A

is unchanged, what is the expected value of the rate constant

k_\text{cat}

at 298 K? (Use

R = 8.314\,\text{J mol}^{-1}\text{K}^{-1}

.) (a)

4\times10^{1}\,\text{s}^{-1}

(b)

1\times10^{2}\,\text{s}^{-1}

(c)

4\times10^{4}\,\text{s}^{-1}

(d)

2\times10^{0}\,\text{s}^{-1}