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represented by the slope of the straight line). The integrated rate law is an equation that describes the concentration of a reactant over time (t). The integrated rate law comes in different forms depending on the reaction order. The rate laws below are given for a simple general reaction A-products Part B . Order Integrated rate law Linear graph Slope o [A] = - kt + [A]o [A] vs. t -k In[A] = –kt + In[A]o In[A] vs. t -k 2 JÀ kt+ TÀ [A] [A], [A] Given that the rate constant for the decomposition of hypothetical compound X from part A is 1.60 M-1. min-1, calculate the concentration of X after 11.0 min . Express your answer with the appropriate units. 1 2 vs. t 2 ► View Available Hint(s) uả ? [X] = 1.60 = M
The rate constant of a chemical reaction increased from 0.100 s-1 to 2.60 s-1 upon raising the temperature from 25.0°C to 45.0 °C. -1 S Part A Learning Goal: To use the Arrhenius equation to calculate the activation energy. As temperature rises, the average kinetic energy of molecules increases. In a chemical reaction, this means that a higher percentage of the molecules possess the required activation energy, and the reaction goes faster. This relationship is shown by the Arrhenius equation Calculate the value of 1 T2 1) where Ti is the initial temperature and T2 is the final temperature. T k = Ae-Ea/RT Express your answer numerically. ► View Available Hint(s) where k is the rate constant, A is the frequency factor, Ea is the activation energy, R = 8.3145 J/(K·mol) is the gas constant, and T is the Kelvin temperature. The following rearranged version of the equation is also useful: ΠΙ ΑΣΦ ? ki (*)-(*( - ) : In = E R 1 T2 1 T +-+)-1 1 T2 1 Ti = K-1 where ki is the rate constant at temperature Ti, and k2 is the rate constant at temperature T2. Submit
Calculate the value of In ki ko where ki and k2 correspond to the rate constants at the initial and the final temperatures as defined in part A. Express your answer numerically. View Available Hint(s) | ΑΣφ ? In Submit Part What is the activation energy of the reaction? Express your answer numerically in kilojoules per mole. View Available Hint(s) EVO ACO ? LT/mol