Question

At constant temperature, the pressure of a sample of gas is inversely proportional to its volume. I have some hydrogen in a 3.67 liter container with a pressure of 4 kPa. If I move all of it to a 1.835 liter container at the same temperature, what will the new pressure be in kPa?

Answer 1

8

Explanation:

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Answer 2

The new pressure will be 8 kPa.

Explanation

Lets assume, the pressure of the gas is P and volume is V.

P is inversely proportional to V means :
`P= (k)/(V)` , where
`k` is a proportional constant.

First, it is given that, Volume of hydrogen is 3.67 liter with a Pressure of 4 kPa

Now plugging V= 3.67 and P= 4 in the above equation:

`4= (k)/(3.67)\\ \\ k= 4*3.67 \\ \\ k= 14.68`

Now, we are moving all of the hydrogen to a 1.835 liter container. That means now the Volume is 1.835 liter

Plugging V= 1.835 and k= 14.68 into the original equation
`P= (k)/(V)`,

`P= (14.68)/(1.835) \\ \\ P= 8`

So, the new pressure will be 8 kPa.