A container has a volume of $3 L$ and holds $7 mol$ of gas. If the container is expanded such that its new volume is $15 L$ , how many moles of gas must be injected into the container to maintain a constant temperature and pressure?

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Answer 1 · 2018-07-17T10:49:34

28 mol

$PtimesV = ntimesRtimesT$

P is pressure
V is volume
n is mol
R is the universal gas constant
T is temperature.

1st situation:
$Ptimes3=7timesRtimesT$

2nd situation
$Ptimes15=ntimesRtimesT$

P is the same in the 1st and 2nd situations. R and T are the same also (n is the moles in the second situation).

$3/15 = 7/n$

$n=(7times15)/3 = 35$ moles (total in the second situation. It means there are $35-7 = 28$ moles of gas must be injected to have the condition.

A container has a volume of 3 L3 L and holds 7 mol7 mol of gas. If the container is expanded such that its new volume is 15 L15 L, how many moles of gas must be injected into the container to maintain a constant temperature and pressure?