± Core Chemistry skill: Using the Gas Law Relating Volume and Moles Part A Avoga
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± Core Chemistry skill: Using the Gas Law Relating Volume and Moles Part A Avogadro's law states that the volume, V, of a gas is directly related to the number of moles, n, of the gas when temperature and pressure are constant: (Figure 1) A cylinder, with a piston pressing down with a constant pressure, is filled with 2 20 moles of a gas (n1), and its volume is 50.0L(Vi). If 0.800 mole of gas leak out, and the pressure and temperature remain the same, what is the final volume of the gas inside the cylinder? Express your answer with the appropriate units. Hints is the where Vi is the volume filled by n1 moles and V volume filed by a different number of moles, n V Value Unts mily of 1 Submit My Answers Give Up rnation Part B A sample of gas in a cylinder as in the example in Part A has an initial volurme of 40.0 L and you have determined that gas has leaked out. The pressure and temperature remain the same, but the volume has it contains 1.80 moles of gas. The next day you notice that some of the changed to 10,0 L. How many moles of gas (Ha ) remain in the cylinder? Express your answer with the appropriate units. ments gcartel.c Hints Commut CE CONM Fewer moles Smaller vclume More moles Larger volume nValue UnitsExplanation / Answer
part A
from , V1/n1 = v2/n2
n2 = 2.2-0.8 = 1.4
(50/2.2) = (V2/1.4)
V2 = final volume = 31.8 L
part B
from , V1/n1 = v2/n2
V1 = 40.0 L , n1 = 1.8 mole
V2 = 10.0 l , n2 = ?
(40/1.8) = (10/n2)
n2 =no of mole of gas present after leaking = 0.45 mole
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