Answer
0.248 grams Caffeine
Work Step by Step
Caffeine C8H10N4O2
C is 12, 12*8 = 96
H is 1, 10*1 = 10
N is 14, 14*4 = 56
O is 16, 16*2 = 32
96 + 10 + 56 + 32 = 194 g/mol
Since there are 6.022 x 10^23 molecules in 1 mole then
7.70 x 10^20 molecules * (1 mole/6.022 x 10^23 molecules) * (194 grams/1 mole) = 0.248 grams Caffeine