Given a general reaction $5x+2y\rightarrow w+3z$, the instantaneous rate of reaction is :

Question

$\begin{array}{1 1}(a)\;\large\frac{1}{5}\frac{d[x]}{dt}=\frac{1}{2}\frac{d[y]}{dt}=-\frac{d[w]}{dt}=-\frac{d[z]}{dt}\\(b)\;-5\large\frac{d[x]}{dt}=\frac{-2d[y]}{dt}=\frac{d[w]}{dt}=\frac{3d[z]}{dt}\\(c)\;-\large\frac{1}{5}\frac{d[x]}{dt}=-\frac{1}{2}\frac{d[y]}{dt}=\frac{d[w]}{dt}=\frac{1}{3}\frac{d[z]}{dt}\\(d)\large\frac{5d[x]}{dt}=\frac{2d[y]}{dt}=-\frac{d[w]}{dt}=-\frac{3d[z]}{dt}\end{array}$