A mixture of nitrogen and argon gas is compressed from a volume of 70.0 L to a volume of 61.0 L, while the pressure is held constant at 14.0 atm. Calculate the work done on the gas mixture
To calculate the work done on the gas mixture, we can use the formula:
Work = -PΔV
Where P is the constant pressure and ΔV is the change in volume.
In this case, the initial volume (V1) is 70.0 L and the final volume (V2) is 61.0 L. The pressure (P) is 14.0 atm.
ΔV = V2 - V1 = 61.0 L - 70.0 L = -9.0 L (negative because the volume decreases)
Now we can calculate the work:
Work = -PΔV = -(14.0 atm)(-9.0 L) = 126.0 atm⋅L
Therefore, the work done on the gas mixture is 126.0 atm⋅L.