If I want to prepare a liposome contains DSPC:DOPE:PEG200-DSPE in a 5.66:2.87:1.47 molar ratio, how do I should calculate the weight of each component to be taken for making 5 mL of liposome?
There are several aspects that need to be taken into consideration. First is a well-understood concept on how to prepare liposomes, see for example: https://www.sigmaaldrich.com/NL/en/technical-documents/protocol/cell-culture-and-cell-culture-analysis/transfection-and-gene-editing/liposome-preparation
Second do realise that one important detail is missing in your question, 5 mL liposomes… at what (end-)concentration? Typical concentrations are 10mM or in terms of mg/mL typical values are 10-100 mg/mL, see for example Article Anionic phospholipids are essential for α-helix formation of...
So, let’s say you want a 10 mM stock solution. Using the molar ratio’s, you indicated this would mean:
DSPC 5.66 mM (mw 790.161 g·mol−1)
DOPE 2.87 mM (mw 744.034 g.mol-1)
PEG200-DSPE 1.47 mM (2790.521 g.mol-1, I suppose you meant PEG2000, https://avantilipids.com/product/880128)
Now it is pretty straight forward, 790.2 mg/mL would mean 1M DSPC, so 5.66/1000 x 790.2 mg/mL = 4.47 mg/mL would render 5.66 mM etc.
Since the give ratios are molar ratios, you cannot calculate the necessary grams directly, you need to work with mol first. Well, this obviously can be performed in various ways, but if I finish my example:
5.66/1000 x 790.2 mg/mL = 4.47 mg/mL (would render 5.66 mM DSPC)
2.87/1000 x 744.034 mg/mL = 2,14 mg/mL (would render 2.87 mM DOPE)
1.47/1000 x 2790.521 mg/mL = 4,10 mg/mL (would render 1.47 mM PEG2000-DSPE)
This would end up in a lipid concentration of 10,71 mg/mL. So, multiplying all the above concentrations with 25/10.71 renders: 10,43 mg DSPC, 5,00 mg DOPE and 9,57 mg PEG2000-DSPE and this dissolved in 1 mL will give you a lipid concentration of 25 mg/mL.