Question

A gas occupies `"0.5650 L"` in a closed container. The initial pressure is `"______"` if the volume increases to `"1.204 L"` at a pressure of `"715.1 bar"`?

Answer 1

The initial pressure, which goes in the blank, was `"1524 bar"`.

Explanation:

This question involves Boyle's gas law , which states that the volume of a given amount of a gas varies inversely with the pressure, as long as temperature is kept constant. This means that when the volume increases, the pressure decreases, and vice-versa. The equation you will need to answer this question is:

`P_1V_1=P_2V_2`

In your question, the blank is the initial pressure, `P_1`, whis is your unknown. Organize the rest of the data.

Known

`V_1="0.5650 L"`

`P_2="715.1 bar"`

`V_2="1.204 L"`

Solution

Rearrange the equation above to isolate `P_1`. Insert the known data into the equation and solve.

`P_1=(P_2V_2)/(V_1)`

`P_1=(715.1"bar"xx1.204color(red)cancel(color(black)("L")))/(0.5650color(red)cancel(color(black)("L")))="1524 bar"` (rounded to four sig figs)