Okay, so for this question, we're going to use the Rydberg equation, which is shown here, and we're gonna try to find the first two lines with the spectrum. So this would be, um, five dropping to four in six, dropping to four. So five is gonna be the first line in six would be the second line. So from here, we can just plug what we already know in. And, you know, I'm gonna write our which is, um, Rydberg Constant up here. Just so I don't have to keep writing it because it's a little long. So 1.97 times 10 to the negative second is red Berg's constant. So it's going to say one over our wavelength equals R. And then we are given that our m is, um oops. Did not want to do that is four. So four squared minus 1/5 squared. Great. So if you want a positive video and do that little calculation, you should get a wavelength, uh, 415 nanometers, and then we're gonna do the same exact thing for, um, the second line, which would be formed six dropping to four. So one over the wavelength equals R, right? Burt Constant. And then 1/4, the four shown it changed were given that and then minus 1/6 squared. Great. And again, if you're solved for wavelength, you should get 2000 625 nanometers. Great. So now, since we know the weight links, we can use this equation e equals H C over wavelength in order to get our energies. And we know we want it in kill jewels per mole. So we're gonna multiply it by avocados number. Great. All right, so let's start with five. So we know that our wavelength is 4000 and 15 so we're just gonna plug everything in that we know. So we know H is Plank's constant. 6.6 times, 10 to the negative, 34th times the speed of light, which is 10 hoops stunts on when I wanted three to be 8, 10 3 times 10 to the eighth. Sorry of that. And then we know we want to multiply this by Alba God Rose number, which is 6.2 times 10 to the 23rd. Again, I'm leaving out my units, but it's always going to write them. I just don't want him to slow down because I'm kind of slow withdrawing. Okay, then we know that our wavelength is 415 nanometers. All right, this is where things get a little tricky, and we want evaluate what we have. So we know that, right? Bergs are we know that plank's constant is in. Oh, sorry. Not what I wanted. We know that the speed of light is in meters, so we want to make sure that we also have our wavelength and meters in order to do this. Since it's Nana meters, we could just multiply about this by 10 to the negative ninth. That way you want You want to make sure that your unit's always match up, all right? And then you should get by doing that Calculation. 129 0.80 killing joules per mole. Kill it, Jules. Hair more. Sorry. Okay, great. So we're gonna do the same exact thing for our, um our second line 46 year. The only thing we're gonna change and I'll change my color here is that we're gonna change the wavelength, so I'm just gonna go ahead and erase this. And then all we're gonna do is replace this with our wavelength for the second line. So we have to 6 to 5. Sorry, my markers acting up to 6 to 5. And we know that's a nana meter. So we want a multiply it by 10 to be negative nine. And we should get an answer of 45.59 Sorry. My market is not working. 45 point five nine killer jewels per mole. Her more Sorry, It kind of lost it at the end there. And these are both going to be in the infrared region, so I are.