I have a calculus project due tomorrow and help would be greatly appreciated!
The problem: Imagine that .00158 moles of CO2 is contained in a closed pipette whose volume is decreasing at the rate of .001L/sec, while the pressure is increasing at the rate of 1/2 atm/sec and the moles are increasing at a rate of .0001881moles/sec. How fast is temperature changing when pressure is 5.2atm, volume is .0055L Moles increase at a rate of .0001881 moles per second.
The equation we wish to take the derivative of is PV=nRT, solving for the rate of change of temperature over time. (dT/dt).
To make it more clear:
dP/dt= .5atm/sec P=5.2 atm
dV/dt= -.001 L/sec V= .0055L
dT/dt=? T= 220 K
Thanks in advance, I have tried to solve this problem for the past week and cannot get a reasonable answer for dT/dt.