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NMR spectrum
solvent: $\ce{CDCl3}$

I'm unsure as to whether the large sharp peak at ~1.5 on my NMR spectra is water, I was under the impression water gave a broad peak in proton NMR, but may be confusing it with something else.

Can anyone confirm is deny?

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Your peak at δ1.6 in $\ce{CDCl3}$ is indeed water. This is typical of the appearance of water in $\ce{CDCl3}$ at the sample concentration you present. Water can sometimes be broad; this depends on the overall sample concentration, acidity of the solution and relative concentration of other labile protons. This looks like a fairly new bottle of $\ce{CDCl3}$.

You will notice that the residual chloroform peak at δ7.26 has $\ce{^{13}C}$ satellites; intensity approximately 0.55% of the parent peak, with a splitting of ~210Hz (so about 105Hz either side of the parent $\ce{^{12}C}$ peak). You will then also see that the water peak, although of similar intensity, does not have any carbon satellites. You could also confirm this by adding a small amount of $\ce{D2O}$, and observing a change in chemical shift for this peak.

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