(Solved): i need help with these 3 problems The activation energy Ea for a particular reaction is 42.2kJ/mol ...

The activation energy Ea for a particular reaction is $$42.2\mathrm{kJ}/\mathrm{mol}$$. How much faster is the reaction at $$343\mathrm{K}$$ than at $$323\mathrm{K}$$ ? $$(\mathrm{R}=$$ $$8.314\mathrm{J}/\mathrm{mol}?\mathrm{K})$$ The activation energy for a particular reaction is $$102\mathrm{kJ}/\mathrm{mol}$$. If the rate constant is $$1.35\times 10^{?4}$$ $${\mathrm{s}}^{?1}$$ at $$308\mathrm{K}$$, what is the rate constant at $$273\mathrm{K}$$ ? The kinetics of a gas phase reaction of the form $$A?$$ Products results in a rate constant of $$1.308{\mathrm{M}}^{?1}{\mathrm{s}}^{?1}$$. For this reaction, the initial concentration of $$A$$ is $$0.527\mathrm{M}$$. What is the half-life for this reaction?