Find an expression for the total differential

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Reference no: EM131009543

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.

Reference no: EM131009543

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