There is one change here. I said cubic inches in problem 2 on your homework. I meant cubic meters. Also I do realize that the drawing doesn't quite make sense.
Thermodynamics: Problems 3 Ideal Gases Name____________
Please be sure to round each number to two places after the decimal, and all answers that require scientific notation should have one number before the decimal point and two after i.e.1.38x10-23. Points will be taken off for improper notation!
P = Pressure, measured in kilogram meters per seconds squared (kg/m*s2)
T = Temperature, measured in Kelvin
V = Volume, measured in cubic meters (m3)
N = The number of molecules in the gas
k = the Boltzmann Constant, or, 1.38 x 10-23 Joules per Kelvin (J/k) (Joules are kg*m2/s2)
1.) There is a chamber of gas that is 1 cubic meter, with a starting temperature of 298 K, and 5.8 x 1020 molecules. How much pressure is there?
2.) Will the pressure inside the chamber be able to lift a weight which weights 4 kilogram meters per second squared, and has a surface area of 2 square meters?
3.) What happens to your volume and pressure when the weight is lift upwards?
4.) At what volume will the weight be too heavy to lift (set you psi so that it will be equal to the weight and solve for v. don’t forget that the surface area still matters)?
5.) List two ways which would allow the weight to be lifted even higher?
6.) Imagine that at the bottom of this chamber there is a reservoir of water. How could we use this to increase the pressure in the chamber?
7.) Now we want to lower the weight, so we release half of the total molecules in the chamber. How high would the temperature need to be in order to lift the weight now?
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