This problem involves, um, the chemical equation of for the decomposition of hydrogen peroxide into water and oxygen. So to H 20 yields to H 20 plus 02 were given the original balanced equation. And then we are also, um, given that the temperature is going to be 27 degrees Celsius, the pressure is 746 tour, and we're trying to figure out what volume of pure 02 will be collected when half of a 125 grams sample of hydrogen peroxide is decomposed. First thing we do is go ahead and convert our temperature into Calvin's. We have 27 plus 2 73 which gives us a temperature of 300. Calvin and we might as well go ahead and convert our tour into a T. M. So 746 tour times one a. T m. Over 760 Tour gives us an A t m of 0.98 a. T. M. So that is our pressure. Um, next, we want to go ahead and figure out how many moles of hydrogen peroxide is in that 62.5 on and again we got the 62.5 because it's 50% of a 125 grams sample. So if we have 62.5 grams of H 202 and we want to figure out the moles of H 202 we first need to figure out what one mole is equal to. So one more of age to 02 equals the Moler Mass. So it's going to be two times 1.0 08 plus two times 16 which will give us a Moler mass of 34.16 uh, Grams. So if we have 62.5 grams and one mole is 34.16 grams, then we have 1.84 mole of H 202 to work with. So and we also know that from this equation up here from our balance equation, we know that one mole of 02 is equal to two moles of H 202 So if we have 81.84 moles of H 202 0.84 mole H 202 and we get one more of 02 for every two moles of H 202 Then we have 0.92 moles of 02 Now it just comes down to using PV equals and Artie. Now that we have our number of moles and we're trying to solve for volume, so volume equals number of malls. Times are gas, constant times or temperature divided by our pressure. So we will have our number walls of 0.92 moles time 0.8206 for gas constant. And our temperature is 300. Kelvin, we're gonna divide all of that by 0.98 for our pressure and we get that our volume is going to be 23.11 leaders.