The original volume and pressure of a gas sample were 8.0 L and 125 kPa. If the pressure is increased to 200.0 kPa while the temperature is kept constant, what is the new volume of the gas in the container.
Now what if I plug them in whatnto do now
To find the new volume of the gas after the increase in pressure, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional when the temperature is constant.
Boyle's Law equation is written as:
P1 * V1 = P2 * V2
Where:
P1 = Initial pressure of the gas
V1 = Initial volume of the gas
P2 = New pressure of the gas
V2 = New volume of the gas (the value we want to find)
In this case, the initial pressure (P1) is 125 kPa, the initial volume (V1) is 8.0 L, and the new pressure (P2) is 200.0 kPa.
Plugging the values into Boyle's Law equation:
125 kPa * 8.0 L = 200.0 kPa * V2
Now, we can solve for V2:
V2 = (125 kPa * 8.0 L) / 200.0 kPa
V2 = 1000 L / 200.0
V2 = 5.0 L
Therefore, the new volume of the gas in the container is 5.0 L.
P1 V1 = P2 V2
so plug in your numbers