For a reaction obeying the rate law rate=k[X]1/2[Y], an experiment performed with initial concentrations [X]0 and [Y]0 gives an initial rate r0. If a second experiment is carried out at [X]0′=9[X]0 while keeping [Y]0 unchanged, what is the expected initial rate r′?
a) 9r0
b) 31r0
c) 3r0
d) 4.5r0