In a kinetic study of the reaction 2A(g) + B(g) → P(g) the following rate data were obtained. Write the rate law with proper orders. Give the overall order of the reaction. Finally, state what this problem confirms about the relationship between reactant orders and coefficients in the balanced equation.

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Experiment 1 2 3 [A] 0.0125 M 0.0250 M 0.0125 M [B] 0.0253 M 0.0253 M 0.0506 M Rate of disappearance of A (M/s) 0.0281 0.0562 0.1124