The air within a piston equipped with a cylinder absorbs 565 J of...

Question

The air within a piston equipped with a cylinder absorbs 565 J of
heat and expands from an initial volume of 0.10 L to a final volume
of 0.85 L against an external pressure of 1.0 atm. What is
the change in internal energy of the air within the piston?

Accepted Answer

Hey everyone in this example we're given a pressure of 1.3 ATMs Where gas balloon is absorbing 438 jewels of heat and expanding from a volume of 4380. liters to 1.3 liters. We need to find the change in internal energy for the gas in the balloon. We should first make note of our volumes given so .60 L is going to be the initial volume of our balloon and 1.3 L is going to be the final volume. We should first recall our formula for the change in internal energy which is found by taking our value for heat which is represented as Q. And adding that to our value for work represented as W. We should next recall how to find our value for work because it's not given in this question. We only are given our heat as well as our volume and then our pressure here. So to find work, we should recall that we take negative one times our value of pressure and multiply that by our change in volume where we should take our final volume minus the initial volume. So let's go ahead and find our calculation for work. We would have that work is equal to negative. Our pressure is given us 1.3 ATMs which is then multiplied by our difference between our volumes. So we're going to take the final volume given as 1.3 leaders subtracted from our initial volume given as 0.60 leaders. And when we multiply our units out and take this difference here, we're going to get a value equal to negative 0.91 80 M Times leaders when we multiply the units. So now we want to go ahead and recall our conversion factor to go from A. T. M's times Leaders into units of jewels which is our unit for work. So we should recall that for one A. T. M. Times leader we have 101.3 jewels and so now we can go ahead and cancel our units of ATMs Times Leaders leaving us with jewels, our final unit for work. So this is going to give us a value Equal to negative 92.18 jewels. And so now we have our unit for work. Let's go ahead and calculate our change in internal energy of our balloon. So this is going to equal our value for heat which is given as 438 jewels. And we're adding that to our value for work, which we set as negative 92.18 jewels. And this is going to give us a result Equal to 345.82 jewels. And so this would be our final answer as our change in internal energy of our balloon which is positive 345.82 jewels. And this would make sense because our balloon which is our system is gaining heat from the environment which is our surroundings. So again this is our example or this is our final answer. To complete this example. If you have any questions, please leave them down below, and I will see everyone in the next practice video.

The air within a piston equipped with a cylinder absorbs 565 J of heat and expands from an initial volume of 0.10 L to a final volume of 0.85 L against an external pressure of 1.0 atm. What is the change in internal energy of the air within the piston?

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