a piston performs work of 210. L atm on the surroundings, while the cylinder in which it is placed expands from 10. L to 25L. at the same time, 45J of heat is transferred from the surroundings to the system. Against what pressure was the piston working?
Please Explain!
To find the pressure against which the piston was working, we need to use the equation relating work, pressure, and change in volume.
Work is given by the equation:
Work = Pressure x Change in Volume
In this case, the work performed by the piston is given as 210 L atm, and the change in volume is from 10 L to 25 L. We are trying to find the pressure (P) against which the piston was working.
So we can rearrange the equation to solve for pressure:
Pressure = Work / Change in Volume
Substituting the given values:
Pressure = 210 L atm / (25 L - 10 L)
Pressure = 210 L atm / 15 L
Now we need to convert the pressure unit from L atm to another unit, such as Pa (Pascal) or atm.
1 atm = 101,325 Pa (approximately)
So we can choose to convert the pressure from L atm to atm or Pa. Let's convert it to atm.
Pressure = 210 / 15 atm
Pressure = 14 atm
So, the pressure against which the piston was working is 14 atm.