How many moles of ba(oh)2 are present in 275 ml of 0.200 m ba(oh)2?

You have to put your attention to the unit of concentration. It is expressed in terms of molarity, which is represented in M. It is the number of moles solute per liter solution. So, you simply have to multiply the molarity with the volume in liters.

Volume = 275 mL * 1 L/1000 mL = 0.275 L
Moles Ba(OH)₂ = (0.200 M)(0.275 L) = 0.055 mol

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