Question

RP Rinaldi Perez quiz.. AutoSave Off Home Insert Draw Design Layout Referen Mailing Review View Help Design OSearch File ) Parameters a and b) RTe^(- The equation of state of Dieterici is P(ym- RTVm b of this equation they have the same physical meaning as the corresponding parameters of the van der Waals equation, but they differ in numerical values. Using the Taylor series of functions ex and (1/1-x) (with a procedure similar to the one we used for the van der Waals equation) we get the following virial expression for the comprèssion coefficient, Z, corresponding to the Dieterici equation: a2 ab a Z 1+ (b + 2(RT)2 RT m. From the expression obtain the equation for the Boyle Temperature of a gas that obeys the a. Dietrici equation b. Calcualte the derivative with a constant volume for a gas that obeys the dietrici equation with a constant temperature for for a gas that obeys the dietrici Calcualte the derivative c. equation dv with a constant presure for for a gas that obeys the dietrici d. Calcualte the derivativel equation dv with a constant presure from part d, converts Demonstrate that the result obtained for e. to the result corresponding f. Using the dietrici equation calculate the pressure of the gas methane at a T- 298K, if its molar volume at this temperature is Vm: 22.3L Compare with the result obtained with the equation for ideal gases. For methane, a-4.04306 Jm 3molA-2 and b- 4.6332X10A-5 mA3molA-1 to an ideal gas when V-> infinity and T- infinity

answere e and f

Answer 1

a e RTe RTVM RTe TVM RTe aTP Te P is constan 1 RTVM RTVM xIt Txe RVm a RTVM RT Vm e RT Vm RTVm a Re RTVM T Infinity vInfinity and - a 0 RTVM e e a O RTVM Rxox TUM RYIXIHO

Ideal ezuation gas RT P Vm m RT = Rd CT CPis constand dT V R T P when Die tenici ezuation Fo9 and T Infinity which is Ideal gas fo9 Same -a RTVM PCVM-b =RTe Given 22-3L T 298 K a 4 04 306 J m 2 mol b4566 4. 6332x(0 Mimo 4.6332(0 x10 L/mol - 2 46332X10 L/Mol

a 4.04306 3m Jメ L ニ 404306メ10 CA RTVM PC Vm-b) =RTe × 0-0821kメ293K PC22-3 - 46332メ10 atmx Kynot -404306x 10アメX/mol メ299K×2 A-314 met x -4-0430 6メ/0 PC22-2536) 3314× 29タメ22-3 = O.002 X298 x e -OO7 P .099* e P 1099 0-9294 0214 aEm