A solution of methanol in water is 20 % by volume. If the solution and pure methanol have densities of \( 0.964\text{ kg L}^{-1} \) and \( 0.793\text{ kg L}^{-1} \), respectively, find the per cent of methanol by weight?
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To convert volume % to weight %, you must use the specific densities of both the solute and the entire solution to find their respective masses.