The gas equation for one mole of oxygen relates its pressure P (in atmospheres), its temperature, T (in K), and its volume, V (in cubic decimeters):
T = 16.574 (1/V) - 0.52754 (1/V2) + 0.3879 P + 12.187V P
a) Find an expression for the total differential dT in terms of the differentials dV and dP when the volume is 25 dm3 and the pressure is 1 atmosphere. [So your answer should have the terms dT, dV, and dP in it.]
b) Use your answer to estimate how much the volume would have to change if the pressure increased by 0.1 atmosphere and the temperature remained constant.