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I believe we will not always be given the order of the reaction, but you can tell by looking at graphs of ln[A] vs time, 1/[A] vs time, and [A] vs time. The graph that is a linear line indicates the order of that reaction
if there is no information given to determine the rate order, then the orders should be given. However it is possible for us to be asked to determine the order of a reaction/reactant based on some data or graphs. For example we could be given an plot of lnK v time and asked to determine the order of the reactant.
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