A laboratory utilizes a mixture of 10% dimethyl sulfoxide (DMSO) in the freezing and long-term storage of embryonic stem cells. If DMSO has a specific gravity of 1.1004, calculate the specific gravity, to four decimal places, of the mixture (assume water to be the 90% portion).

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Answer:

The correct answer is "1.0100".

Explanation:

Let the volume of mixture be 100 ml.

then,

The volume of DMSO will be 10 mL as well as that of water will be 90 mL.

DMSO will be:

= [tex]10\times 1.1004[/tex]

= [tex]11.004 \ g[/tex]

The total mass of mixture will be:

= [tex]90+11.004[/tex]

= [tex]101.004 \ g[/tex]

Density of mixture will be:

= [tex]\frac{Mass}{Volume}[/tex]

= [tex]\frac{101.004}{100}[/tex]

= [tex]1.01004 \ g/mL[/tex]

hence,

Specific gravity of mixture will be:

= [tex]\frac{Density \ of \ mixture}{Density \ of \ water}[/tex]

= [tex]\frac{1.01004}{1}[/tex]

= [tex]1.0100[/tex]

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