A sample of oxygen occupies 38.9L at STP. What will the pressure need to be in Torr. if the volume is to be changed to 32.2L without a change in T.
P/760=38.9/32.2
A sample of oxygen occupies 38.9L at STP. What will the pressure need to be in Torr. if the volume is to be changed to 32.2L without a change in T.
To solve this problem, we will use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature.
Boyle's Law equation:
P1 x V1 = P2 x V2
Where:
P1 = initial pressure (STP pressure = 1 atm = 760 Torr)
V1 = initial volume (38.9 L)
P2 = final pressure (unknown)
V2 = final volume (32.2 L)
We can rearrange the equation to solve for P2:
P2 = (P1 x V1) / V2
Now let's substitute the given values into the equation:
P2 = (1 atm x 38.9 L) / 32.2 L
To convert atm to Torr, we know that 1 atm is equal to 760 Torr:
P2 = (760 Torr x 38.9 L) / 32.2 L
Calculating this expression will give us the answer:
P2 = 917.14 Torr
Therefore, the pressure needs to be 917.14 Torr to change the volume of oxygen from 38.9 L to 32.2 L without a change in temperature.