For a reaction obeying the rate law

CHEMISTRY · Single correct · A Level · Chemistry · Rate equations · Rate equations

Problem

For a reaction obeying the rate law rate=k[X]1/2[Y]\text{rate}=k[X]^{1/2}[Y], an experiment performed with initial concentrations [X]0[X]_0 and [Y]0[Y]_0 gives an initial rate r0r_0. If a second experiment is carried out at [X]0′=9[X]0[X]_0'=9[X]_0 while keeping [Y]0[Y]_0 unchanged, what is the expected initial rate r′r'? (a) 9r09r_0 (b) 13r0\dfrac{1}{3} r_0 (c) 3r03r_0 (d) 4.5 r04.5\,r_0

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