A sample of gas occupies a volume of 61.2 mL. As it expands, it does 133.9 J of work on its surroundings at a constant pressure of 783 torr. What is the final volume of the gas.
I would convert 133.9 J to L*atm (I think that's 1.3214. Convert 783 torr to atm and I would substitute V2-V1 for delta V.
i found change in volume: 1290ml but not the final volume of gas. I'm having trouble. don't know my next step.
To find the final volume of the gas, we can use the formula for work done by a gas:
Work = Pressure × Change in Volume
Given:
Initial volume (Vi) = 61.2 mL
Work done (W) = 133.9 J
Pressure (P) = 783 torr
Since the pressure is constant, we can use the formula for work done by a gas at a constant pressure:
Work = Pressure × Change in Volume
133.9 J = 783 torr × Change in Volume
Now, let's solve for the change in volume (ΔV):
Change in Volume = Work / Pressure
ΔV = 133.9 J / 783 torr
Note: We need to convert J to atm since the pressure is given in torr. 1 J = 0.00750062 atm.
ΔV = (133.9 J / 783 torr) × (1 atm / 0.00750062 J)
ΔV = 0.171 atm / torr
To find the final volume, we need to add the change in volume to the initial volume:
Final Volume = Initial Volume + Change in Volume
Vf = Vi + ΔV
Vf = 61.2 mL + 0.171 mL
Therefore, the final volume of the gas is 61.371 mL.