Answer:
V = 12 L
Explanation:
In order to know this, we can use the ideal gas equation which is:
PV = nRT (1)
Where:
P: Pressure
V: Volume
n: moles
R: gas constant
T: Temperature
Now, we don't know the temperature or the mole, but the problem states that the temperature is constante, so, T1 = T2 = T.
As is the same gas, we can asume the moles are the same, so n1 = n2 = n. And the gas constant is always the same value, therefore:
P1V1 = nRT
P2V2 = nRT
The general equation would be:
P1V1 = P2V2 (2)
This is known as the Boyle's law which is a relation concerning the compression and expansion of a gas at constant temperature.
So, we use the above expression and replace the data to solve for V2:
V2 = P1V1/P2
V2 = 6 * 2 / 1
<em>V2 = 12 L</em>
<em>This is the new volume, when the gas is compressed.</em>
