for this one. It says the chemical reaction to a no to be our gas breaks down to give us to a no to gas plus br to gas. It has an entropy value of 1 35 jewels over moles times K and an entropy value of 9. 26 killed. Jewels over moles, I asked. Calculate the temperature when k q equals 4.50 times 10 to the five. Now, what we need to realize here is where we have to use two equations. I give you Delta s and I give you a Delta H. So what equation connects them together? Delta G zero equals Delta 80 minus t Delta s zero. At the same time, I'm introducing our equilibrium. Constant K. What equation connects, connects delta G decay or that will be Delta G zero equals negative rt Alan Kay. Now we're gonna say that both of these equations are equal to Delta G zero, which would mean that this portion is equal to this portion. So let's make them equal to one another. We're gonna say here Delta H zero minus t Delta s zero equals negative rt lnk. Now, since we're gonna need some room to work this out. I'm gonna remove myself guys from the image so we have more room to work with. So let's plug in what we know. We know what Delta H is. It's 9 26 killer jewels over moles minus temperature, which we don't know here. You need to convert your delta s value in to kill a Jules. So divide this by 1000. So that gives us point 135 killer jewels over most times. K are is your gas constant, which is 8. But actually, we need to convert it toe from that number because it's 8.314 jewels over moles times K. That's what our equals. It's that constant number. But we needed to be in kill jewels because this is in kill jewels as well as this. So we divide that number by 1000 to get this new number temperature. We don't know what temperature is here either. So we just put t again and then Alan Kay, which is 4.50 times 10 to the five. Okay, Now let's combine like terms, so we're gonna multiply this times, Ellen of this answer. So that's gonna give us negative 0.1082 to 3 t Because remember our temperatures still there as a variable and that equals the other side that equals 9 26 minus 260.135 t. We're gonna add 0.135 t to both sides. So 9 26 equals 0.2677 70. We wanna isolate temperature, so divide out the 0. And that will give us a temperature off 3.46 times 10 to the four. Kelvin, Hopefully, you guys were able to follow along when doing this question. And just remember, Delta G zero equals more than just one type of equation here. It equals these two particular types in order to connect them together to find our temperature, you need to know what those equations are in the first place. And after that it would just be simple algebraic methods in order to find our final answer
