The molecular weight of ethanol (CHgCHzOH) is 46 and its density is 0.789 g/cm3. A. \A4rat is the molarity of ethanol in beer that is 5% ethanol by volume? [Alcohol content of beer varies from about 4Vo (lite beer) to B% (stout beer).1

Respuesta :

Answer:

[tex]0.86M[/tex]

Explanation:

Hello,

In this case, one must consider that the ethanol's concentration in beer is defined as:

[tex]\% et =\frac{m_{et}}{m_{beer}}[/tex]

In such a way, since molarity is defined as:

[tex]M=\frac{mol_{et}}{Volume_{solution}}[/tex]

One is asked to compute the moles, considering a basis of 5 milliliters of ethanol and 100 milliliters of beer, thus:

[tex]mol_{et}=5mL*\frac{0.789g}{1mL} *\frac{1mol}{46g}=0.086mol\ et[/tex]

Now, the volume in molarity is required in liters, therefore:

[tex]Volume_{beer}=100mL*\frac{1L}{1000mL}=0.1L[/tex]

Therefore, the molarity turns out:

[tex]M=\frac{0.086mol}{0.1L}=0.86M[/tex]

Best regards.