During an isothermal compression of an ideal gas, 410 J of heat must be removed from the gas to maintain constant temperature. How much work is done by the gas during the process?

Video transcript

Hey everyone in this problem, we have volume of an ideal gas reduced. Okay. And it's reduced at a uniform temperature In the process of gas loses 560 jewels of heat to keep its temperature uniform. Okay. And were asked to determine the work done by the gas in this process. Okay. Alright. So the first thing we notice is that we have uniform temperature. Okay. And if we have uniform temperature, well, this implies that we have an ice a thermal process. Okay. Okay, so this process is ice a thermal. We're trying to find the work. Well, what does ice a thermal? Tell us about the way that work and heat are related. Well, we have an ideal gas. Okay, an ideal gas in an icy thermal process, this means that DELTA U. Is equal to zero. Okay, so the change in internal energy is equal to zero. We know that delta U. Is equal to Q minus W. Okay, so if delta U is zero, we just get that Q. Is equal to w. Now, in this problem, we're told that the gas loses 560 jewels of heat. That means that Q is going to be negative jewels. Okay, and because we have this ice a thermal process with an ideal gas, we have Q. is equal to w. And so our work is just going to be equal to negative jules. Alright, so that's gonna be answer B That's it for this one. I hope this video helped see you in the next one