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A container has a volume of #3 L# and holds #2 mol# of gas. If the container is expanded such that its new volume is #14 L#, how many moles of gas must be injected into the container to maintain a constant temperature and pressure?

Answer 1

Charlotte Aaron

9.33 moles of gas must be injected into the container.

The answer can be determined by using Avogadro's law:

#v_1/n_1 = v_2/n_2#

The number 1 represents the initial conditions and the number 2 represents the final conditions.

Identify your known and unknown variables:

#color(violet)("Knowns:"# #V_1#= 3 L #V_2#= 14 L #n_1#= 2 mol

#color(brown)("Unknowns:"# #n_2#

Rearrange the equation to solve for the final number of moles:

#n_2=(V_2xxn_1)/V_1#

Plug in your given values to obtain the final number of moles:

#n_2=(14 cancelLxx2mol)/(3\cancel"L")# = #9.33mol#

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Answer 2

Adrian Ayala

The container must be injected with 9 moles of gas to maintain a constant temperature and pressure.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.