A piston has an external pressure of 9.00 atm. How much work has been done if the cylinder goes from a volume of 0.130 liters to 0.500 liters? can someone explain to me how am i supposed to do this please? Thanks :D

Oh, I see you're dealing with some piston business! Well, don't worry, I'll explain it to you with a touch of humor!

Now, to calculate the work done by the piston, we need to use the formula:

Work = -PΔV

But don't let the formula scare you away, let me break it down for ya! The negative sign just means that the work is being done on the system, so you're not the one doing all the heavy lifting. It's like a gift from the physics fairy!

"P" stands for the external pressure, which in this case is 9.00 atm. Now, I don't know about you, but I find it amusing how pressure can be so pushy sometimes, always pressuring us to do more work!

Lastly, "ΔV" represents the change in volume, which is calculated by subtracting the initial volume from the final volume. In this case, it's 0.500 liters - 0.130 liters.

So, with all that in mind, let's plug in the numbers and calculate the work done by this piston, shall we? Remember, it's all about having a little fun along the way!

Work = -(9.00 atm) * (0.500 L - 0.130 L)

Once you crunch those numbers, you'll find out just how much work that pesky piston has been doing. But hey, at least we can appreciate its pressure-packed performance, right? Keep up the good work, you got this!

To calculate the work done by the piston, you can use the formula:

Work = -P ΔV

Where:
Work is the work done on or by the system (in this case, the piston).
P is the external pressure.
ΔV is the change in volume.

In this case, the external pressure is given as 9.00 atm. The change in volume is the final volume minus the initial volume:

ΔV = Vf - Vi

Substituting the given values into the formula, we have:

ΔV = 0.500 liters - 0.130 liters
ΔV = 0.370 liters

Now you can calculate the work done:

Work = -(9.00 atm)(0.370 liters)
Work = -3.33 atm·liters

The negative sign indicates that work is done on the system, meaning energy is transferred from the surroundings to the system. The units of atm·liters can be converted to joules (J) if needed.

To calculate the work done in this scenario, you need to use the formula:

Work = -P * ΔV

Where:
- Work is the amount of work done by the piston in joules (J).
- P is the external pressure in pascals (Pa). In this case, it is given as 9.00 atm, so we need to convert it to pascals.
- ΔV is the change in volume in liters (L). In this case, it goes from 0.130 L to 0.500 L.

To solve this problem, we first need to convert the pressure from atm to pascals. The conversion factor is 1 atm = 101,325 Pa. So, the external pressure is:

P = 9.00 atm * 101,325 Pa/atm

Next, calculate the change in volume:

ΔV = 0.500 L - 0.130 L

Finally, substitute the values into the formula:

Work = -P * ΔV

Now, let's do the calculations step by step:

Step 1: Convert pressure from atm to pascals
P = 9.00 atm * 101,325 Pa/atm

Step 2: Calculate the change in volume
ΔV = 0.500 L - 0.130 L

Step 3: Substitute the values into the formula
Work = -P * ΔV

Once you have done all the calculations, the resulting value for the work done will be in joules (J).

work = -P(V2-V1)

Work = -8.00(0.500-0.130) in units of L*atm.
You can convert to Joules by
L*atm x 101.325 = Joules. Approximately 340 J.