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A container has a volume of #1 L# and holds #16 mol# of gas. If the container is expanded such that its new volume is #5 L#, how many moles of gas must be injected into the container to maintain a constant temperature and pressure?

Answer 1

Amelia Adams

The number of moles of gas to be injected is #=64mol#

We apply the gas equation

#PV=nRT#

#V/n=RT/P= #constant

Therefore,

#V_1/n_1=V_2/n_2#

#V_1=1L#

#n_1=16mol#

#V_2=5L#

#n_2=V_2/V_1*n_1#

#=5/1*16=80mol#

We have to inject

#=80-16=64mol#

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Answer 2

Nora Arzate

4 moles of gas.

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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.