You did a lot of work, most of which is not right. Here is what you do.
Use (P1V1/T1) = (P2V2/T2)
P1 is 760 mm Hg
P2 is 742 mm Hg
V1 = 2.8 L
V2 = 3.1 L
T1 = 273+20 = 293 K
T2 = ?. Solve for this and the answer will be in units of kelvin.
By the way, note the correct spelling of celsius. You made a typo in miles. I'm sure you meant mols.
The pressure changes from 760mmHg to 742 mmHG. When that occurs, the volume changes from 2.8L to 3.1L. The initial tempature is 20 celcious. What is the new tempature if miles remain the same? When I did this I subtracted 760 to 742 to get 18 and subtracted 2.8 to 3.1 to get .3. Then, I turned 20 to 293 because I converte it to kelvin after that I multipled .08206 to 293 to get 24.04. Then, I multiplied .3 to 18 to get 5.4. Finally, I divided over 24.04 to get .221.
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