Assuming that 30% is a volume concentration (V/V), there are 300 mL of ethanol per 700 mL of water. Also, assuming the density of water equal to 1 g/mL, the volume of ethanol (solute) per 1 kg of water (solvent) can be determined:
"V(C_2H_5OH)=\\frac{300mL\\times1000g}{700g}=428.6mL"
The density of ethanol equals 0.789 g/mL.
Now, moles of ethanol per 1 kg of water can be calculated:
"n(C_2H_5OH)=\\frac{m}{M}=\\frac{\\rho\\times{V}}{M}=\\frac{0.789g\/mL\\times428.6mL}{46.07g\/mol}=7.34mol"
Therefore, the molal concentration is 7.34 m.
Answer: 7.34 m
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