Going to be calculating several different thermodynamic properties for several different reactions. So our first reaction here is magnesium oxide being formed from magnesium metal and oxygen gas. So the first thing we're gonna do is calculate our standard entropy for our reaction. So we're gonna do our products minus are reacting, is using the data and appendix B. So we know that the standard entropy for our magnesium oxide is equal to negative. 601.7 killed goals Permal And then we're going to attract that from the reactions here. So we have to Don't forget your coefficients. By the way, you have two times zero kill jewels, Permal because it is a medal and then oxygen gas is also going to be zero because it is a pure gas. So that gives us a NDP of our reaction of negative 1203.4 kg promote for our standard entropy of reaction. We do the same thing to use our standard n trapeze for these different substances. Products minus reactant. They're going to go ahead and do that. Don't forget coefficient. Two times the standard entropy for magnesium oxide is 26.9 killed. Jules Permal, Calvin. Excuse me. Jewels from all Calvin track that from our reactant. Here we have two times 32.7 jewels per mole, Kelvin. And then finally, for our oxygen gas, we have 205 0.0 jewels for more common. And that will give us a standard entropy of reaction of negative 216.6 Jules per mole, Kelvin. And because we're going to go on and calculate our standard free energy of reaction, let's go ahead and convert our standard entropy in to kill a Jules so we can match up the units here. So we have jewels here. We know that there are 1000 jewels in one killer jewell, which gives us negative 0.2166 Kill a Jules Permal. Calvin. Awesome. So now we can use that data and calculate our free energy of this reaction. We know that our Delta G standard is equal to adults. Age standard. My s t dealt a standard. Go ahead and plug in some numbers. Here we have our delta G standards equal Thio, our adult age standard. Negative 1203.4 killed. Jewels Permal Subtract that from our standard temperature 298 kelvin times are standard entropy of reaction Negative 0.2166 vigils Permal, Calvin And that is going to give us a standard free energy for this reaction of negative 1138 0.9 killed jewels. Permal. So this reaction is going to be very spontaneous in the forward direction because the stele Taji standard value is very negative. When you're Delta G standard is less than zero. Remember, the reaction will be spontaneous. So our next reaction here we have magnesium carbonate turning into magnesium oxide and carbon dioxide gas the same procedure as before. We're going to go ahead and do our products minus reactions for boulder envelops and R n trapeze. For our magnesium oxide, we have negative 601 point Scuse me. Negative. 600 and 1.7 kill jewels formal and in the interest of room here, all of the units for here going to be 601.7. So we have 600 607.1 kg per mole for standard entropy information. So that's one of our products. And then we're going to add that to our carbon dioxide. Here we have negative 393.5. And then, like I said, kill jewels. Permal, subtract that from our reactant. Here we have negative 1000 96 killed goals for more. This gives us a standard entropy of reaction of 100.8 killer jewels for more same procedure for our standard entropy here, we're going to do our products minus R. React INTs. So, for our products are magnesium oxide is going to be 29.9 jewels per mole, Kelvin, adding that to our carbon dioxide here we have 213.6 jewels per mole. Kelvin, subtracting that from our reactant, we have 67 65.7 jewels from McKelvin, which is going to give us a standard entropy of reaction of 177.8. Jules, Criminal Kelvin, like before, we're going to go ahead and convert this into kill jewels so we can have our calculated calculation later be much easier. Same processes before we're gonna use our delta G standard equals Delta H minus t Delta s equation. So let's go ahead and plug in some numbers. Here are Delta G Standard is equal to our adults H standard and our killer jewels. Permal minus rt. Standard temperature and our delta pass it. 0.177 eight killed. Jewel's her mole excellence. This is going to give us a doctor G standard value of 47 0.8 village ALS Permal Now, in this case are delta G. Standard value here is positive, and that is indicative that this reaction is non spontaneous. When you're Delta G value is greater than zero. Your reaction will be non spontaneous for our third equation. Here we have Ferris oxide or we have iron three oxide. So we're going to go ahead and do our same process here. We're going to do our are adults h standard in our adult s standard. So just like the normal products minus reactions here, pence kind of wigging out a little bit. That's okay. So we're going to do our aluminum oxide. Don't create your coefficient. Two times negative. Huge number here, 1676 killing jewels per mole, plus two times and then we have a solid metal here. So two times zero kill jewels for more. Subtract that from our reactions. Here we have our affairs oxide to be negative. 824 point to kill jewels promote added to two times in a solid aluminum which is going to be zero. This will give us adults age standard value of negative 2000 527.8 killed goals for more So as we could tell from a very large negative Delta H standard value. This reaction is very exo. Thermic. Just because the reaction is extra thermic doesn't necessarily mean that it will be spontaneous. But usually if you have a largely extra thermic reaction, it will tend to be spontaneous. But it all depends on our entropy here and the temperature. So to calculate our entropy is we have two times are aluminum oxide is going to be 50.9. Jules, Permal, Calvin times two times are iron metal, which is gonna be 27.3 jewels. Promote Kelvin, the track that from our reactions here for affairs oxide, we have 87 0.4 jewels from all Calvin, adding that to our aluminum metal, we have two times 28.3 jewels for McKelvin. This will give us an entropy level. Scuse me. And final standard entropy of 12.4. Jules, Colonel Calvin, just like before. We're going to go ahead and convert this into Kelly jewels. That will give a 0.124 eligibles. Permal. Calvin, this will save you. The conversion stepped down the line when you go ahead and calculate our delta G standard value, which is going to be equal to negative. 2527.8 village ALS Permal minus our temperature. Here we have 28. Oh, my gosh. 298 Calvin times are standard entropy, which is 0.124 Kelly jewels. Permal. Calvin. Okay, so this will give us a delta G standard value of negative 2531.5 eligibles Permal. So, like I said above, just because of reaction is highly x author America does not necessarily mean that is spontaneous, but here we have a very negative delta G value, which means this reaction is in fact, highly spontaneous. So we have our last reaction here, where we have sodium bicarbonate turning into sodium carbonate with carbon dioxide, gas and water. Cash is water the same procedures before we're gonna calculate our adult h standard value here. So we have three products. We have our sodium carbon e, which is going to be negative 1103.7 kg per mole. We're gonna add that to our carbon dioxide. There's gonna be negative. 393 point five killed. Jewels promote. And now that to our gashes Water, you mean negative. 241.8 kg per mole. Subtract that from our reactant where we have two times. Don't forget those coefficients there. We have two times negative. 950.8 kg. Promote. This will give us a delta H standard value of 162 point six killed jewels. Permal. So to calculate our standard entropy, same deal with our products, minus our reactions here for our products. For our sodium carbonate, we have 135 0.0 jewels per mole. Kelvin, plus our co two gas here which is going to be 213.6 goals from Calvin, plus our gashes water, which is going to be 188 0.7. Keep in mind here, when you're looking at Appendix B, always double check what state your substances are in. Because gas is water and liquid water have different entropy, s and M for peace. So quick tip. And then our final sodium bicarbonate. Here we have two times 102 Jules. Promote common. So this gives us an entropy value off 333 0.3 Jules from Or Kevin Kind of a phone number? No, Jules Promoter Kelvin Tools from module. That's fine, Jules from all Elvin. And let's go ahead and convert that into our eligibles. So you get 0.3333 killer jewels for more Calvin. Awesome. So now we can finally calculate our last Delta G standard value here. We know that our adult H is equal to 162.6 killed jewels Permal minus our temperature. 298 kelvin times are entropy, which is 0.3333 Killah jewels per mole, Kelvin. And this will give us a final Delta G standard value for this reaction of positive 63.3. Kill a Jules Permal. And because this is a positive number, that is indicative that this reaction is non spontaneous. So to answer the second part of this question, how does adult EGY standard value change when the temperature has increased? Let's scroll back up here and look at our original equation. Where we have our delta G standard is equal to Delta H standard minus T delta s. As you increase the temperature this entire term here of negative T Delta s will become more negative. Therefore, if you have a positive Delta H value, the higher that this term becomes, the more negative that this overall term will be. Therefore, as you increase, temperature reactions tend to become more spontaneous.