Which change in conditions would increase the volume of a fixed mass of gas?

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Answer 1 · 2018-06-08T11:37:41

Increase temperature $T$ $T$ or decrease pressure $P$ $P$ .

We can use the Ideal Gas Equation to solve this question:

$P V = n R T$ $PV = nRT$

Hre

In your scenario, when mass is fixed, the number of moles will be fixed, too. So we can combine both constant terms $n$ $n$ and $R$ $R$ to give us:

$P V = k T$ $PV = kT$

where $k$ $k$ is a constant.

Now, since we want to work out how volume changes, let's put $V$ $V$ on the left-hand side and move $P$ $P$ to the right-hand side:

$V = \frac{k T}{P}$ $V = (k T) / P$

So from the equation, we can deduce that in order to increase volume, we can either increase temperature $T$ $T$ or decrease pressure $P$ $P$ .

Hope this helps!