c) Establish the mathematical formula that links I#, mI, MWI2, mFA, and MWFA. Sh

Question

c) Establish the mathematical formula that links I#, mI, MWI2, mFA, and MWFA. Show your reasoning. Remember the equation that you have establish in part 1) c (3pts) I# = ?

d) Establish the mathematical equation between mI, mFA and p, where p is the number of double bonds contained in the unknown fatty acid. Show your reasoning. (3 pts) mI = ?

e) Based on the mathematical formula determined in parts c) and d), establish the mathematical formula that links I#, p, MWI2, and MWFA. Show your reasoning.

Explanation / Answer

a) 1 g of unknown fatty acid binds 0.98 g of I2.

100 g of I2 will bind 98 g of I2.

I# = 98 g

b) As per question above, MI(the mass of I2 bound to the unknown fatty acids)= I# = 98 g

MWI2 = 126.90

mI = number of moles in MI = weight/molar mass = 98/126.90 = 0.772 moles

ml = MI / MWI2

c)

Fatty acids react with a iodine result in the addition of the iodine at the C=C double bond site.

Each iodine atom is added to one double bond.

I# = MFA * 0.98

MWFA = MFA/mFA. Therefore MFA = MWFA * mFA

I# = MWFA * mFA * 0.98

0.98 g iodine binds per g fatty acids

0.98 = MI (in this case)

0.98 = mI * MWI2

So our formula becomes,

I# = MWFA * mFA * mI * MWI2

d)

mI, mFA and p

One atom of iodine binds to one double bond (p).

MWI2 = p

If we get the number of double bonds per mole, we can easily determine the moles of Iodine required to bind.

mI = MI / MWI2

mI = mFA * p * MI / MWI2

e)

I#, p, MWI2, and MWFA

I# = MWFA * mFA * mI * MWI2 (from c)

mI = mFA * p * MI / MWI2 (from d)

Putting value of mI from d in equation from c

I# = MWFA * mFA * mFA * p * (MI / MWI2) * MWI2

I# = MWFA * mFA^2 * p * MI

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