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A container has a volume of #4 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

Leo Abeyta

7 moles of gas must be injected into the container.

The answer can be calculated 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(brown)("Knowns:"# #v_1#= 4 L #v_2#= 14 L #n_1#= 2 mol

#color(gray) ("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)/(4\cancel"L")# = #7 mol#

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Answer 2

Xavier Adame

To maintain constant temperature and pressure during expansion, 6 moles of gas must be injected into the container.

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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.