A container has a volume of #12 L# and holds #15 mol# of gas. If the container is expanded such that its new volume is #24 L#, how many moles of gas must be injected into the container to maintain a constant temperature and pressure?

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Answer 1 · 2017-11-26T02:08:27

#"15 mol"# of gas should be injected.

Avogadro's law: Equal volumes of all gases, at the same temperature and pressure, have the same number of molecules.

Mathematically,

#V ∝ n#

#V_2/V_1 = n_2/n_1#

#n_2 = V_2/V_1 × n_1#

#n_2 = "24 L"/"12 L" × "15 mol"#

#n_2 = "30 mol"#

#Deltan = n_2 - n_1 = "30 mol" - "15 mol" = "15 mol"#