A bike tire filled with 0.10 moles of gas has a volume of around 2.24L. The tire then pops, and now has a volume of 0.35L. Assuming that pressure and temperature remain constant, how many moles of gas are left in the tire?

a). in this case, dh> 0 and sd> 0. if t becomes larger, the term "-tds" will become more negative. at some point, it is possible that -dts will be more negative than the dh is positive, and the reaction will become spontaneous. this is probably the correct answer, but you should look at all of the other possibilities and make sure of that.