As others have said, the sample size depends on the size of the effect you are hoping to detect and the variability of your data. The rough rule is that when the treatment and control group are the same size and have a common variance $\sigma$, you need a sample of size $n=\frac{16}{\Delta^2}$, where $\Delta=\frac{\mu_{0}-\mu{1}}{\sigma}$$\Delta=\frac{\mu_{T}-\mu_{C}}{\sigma}$ for a two-sided test. The formula and its derivation can be found in the chapter on sample size from Gerald van Belle's Statistical Rules of Thumb.