Please help me complete this calculation

[baxter]

Greetings: It's been awhile since I've done this type of calculation and I'm rusty. I'm trying to figure out how the authors got the answer they did from this calculation so I know how to do the formula.

Here is the calculation and information I know:

1190.6 mL/g = 5.075 x 10 ^-2 g/mL x M_v^.716

I can get to the point where M_v^.716 = 23,460

According to the article they say M_v = 1.27 x 10⁶ Da. How do they get that number?

I would greatly appreciate any help you can please give me! Thank you so very much.

 

[srmichael]

Raise both sides of the equation to the reciprocal of 0.716

\(\displaystyle (M_{v}^{0.716} )^{1/0.716}= 23,460^{1/0.716}\)

\(\displaystyle M_{v} = 1,270,019\) or \(\displaystyle 1.27 \times 10^6\)

 

[baxter]

Thank you so much for your help!