The volume of a sample of a gas at STP is 200.0 ml. If the pressure is increased to 4.00
atmospheres (temperature constant), what is the new volume?
To find the new volume of the gas sample, you can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional when the temperature is kept constant.
Boyle's Law equation: P1V1 = P2V2
Where:
P1 is the initial pressure
V1 is the initial volume
P2 is the final pressure
V2 is the final volume
In this case, the initial pressure (P1) is equal to 1 atmosphere (which is the standard pressure at STP).
Given:
P1 = 1 atm
V1 = 200.0 ml
P2 = 4.00 atm
Now, we can substitute these values into the Boyle's Law equation:
(1 atm) * (200.0 ml) = (4.00 atm) * (V2)
Simplifying the equation:
200.0 ml = 4.00 atm * V2
To find the new volume (V2), divide both sides of the equation by 4.00 atm:
V2 = (200.0 ml) / (4.00 atm)
V2 = 50.0 ml
Therefore, the new volume of the gas sample, when the pressure is increased to 4.00 atmospheres (temperature constant), is 50.0 ml.