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"#?

1 Answer
Jun 2, 2017

Answer:

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)