The third beaker has the highest number of particles. "Mol" is an abbrevation for mole which is a quantity, 6.02 x 10^23. Water and C3H8O, which is ethanol, don't ionize when mixed together so the total number of moles in each beaker is the number of moles of water plus the number of moles of ethanol. The number of particles, which in this case is molecules, can be calculated by multiplying the total number of moles in each beaker by 6.02 X 10^23:
Beaker 1: (2 mol + 1 mol) x 6.02 x10^23 = 1.81 x 10^24 particles
Beaker 2: (1 mol + 2 mol) x 6.02 x10^23 = 1.81 x 10^24 particles
Beaker 3: (2 mol + 2 mol) x 6.02 x10^23 = 2.41 x 10^24 particles
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