Apologies in advance for the newbie question.
Say I have a basic reaction A+2B->P that is governed by the rate law R=kAB, then dA/dt=-kAB while dB/dt=-2kAB (right so far?)
My question: presumably I can write 0.5A+B->0.5P in which case the reaction rates would be half, that is, dA/dt=-0.5kAB & dB/dt=-kAB, despite being essentially the same reaction. Is it that k for the second reaction would be double that of the first reaction?
I have obviously misunderstood something fundamental here and I'd appreciate it if someone could point it out to me...