College Chemistry

Question

An airtight container with a volume of 4.25 x 104 L, an internal pressure of 1.00 atm, and an internal temperature of 15.00 C is washed off the deck of a ship and sinks to a depth where the pressure is 175 atm and the temperature is 3.000 C. What will the volume of the gas inside be when the container breaks under the pressure at this depth?

I could really use someones help with this one especially if you went step by step so i can see how you got your answer and compare it to the one i got when i tried working it out.

Answer 1

The ideal gas law is PV=nRT. We can use a simplification of it in this case:

PV/T = nR, so since nR will stay the same we can say PV/T = PV/T (the surface values on the left side, and the ocean depth values on the right side). This version is called the "combined gas law" in some chem classes (as compared with Boyle's Law and Charles' Law).

So just like familiar ratio problems with two variables, you plug in values for all but one of them and solve for the last one. Five of the six values are given, jut plug them in.