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?

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 : , where 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:

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 ,

So, the new pressure will be 8 kPa.