Chemistry

Problem

Two first-order pathways decompose gas Z. • Pathway I:

A_{\mathrm I}=1.0\times10^{13}\,\text{s}^{-1}

and

E_{a,\mathrm I}=95\,\text{kJ mol}^{-1}

. • Pathway II:

A_{\mathrm{II}}=1.0\times10^{15}\,\text{s}^{-1}

and

E_{a,\mathrm{II}}=55\,\text{kJ mol}^{-1}

. At what temperature will the two pathways contribute equally to the overall rate? (Use

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

.) a)

1.30\times10^{3}\,\text{K}

1.55\times10^{3}\,\text{K}

1.05\times10^{3}\,\text{K}

2.4\times10^{3}\,\text{K}