atnQ 3. Use the equation S klnQ + KTn)v to derive the expression for an ideal gas: as 1 au ov atnQ 3. Use the equation S klnQ + KTn)v to derive the expression for an ideal gas: as 1 au ov
Derive an expression for the isothermal compressibility 1 (av for an ideal gas
Derive above expression for chem potential of an ideal gas Chem Potential for ideal gas
2. Derive an expression for (as) for a gas with the equation of state: P(V-nB) = nRT, where B is a constant. 2. Derive an expression for (as) for a gas with the equation of state: P(V-nB) = nRT, where B is a constant.
Following the procedure that we used in class for the case of an ideal gas derive an expression for the efficiency of a Carnot engine using a van der Waals gas as the working substance. [HINT: Using the thermodynamic EOS for U the exactness relation for dU CvdT + (Tr + PdV gives | | =1 which shows that the constant volume heat capacity does not depend on V. You will need this to obtain ov OT temperature ratios on...
1. Use Eq. 1 to derive an expression for the expected output waveform from an ideal differentiator circuit having input waveform Vin=lsin[(21)1000t] V. Let RF1.5 k12 and C=10 nF. 2. Use Eq. 3 to find the peak-peak output amplitude of the ideal differentiator of question 1 for a 2 Vpp sine wave input at 1 kHz and 2 kHz. Put the results in the Calculated Output column of Table 1 in Appendix A. 3. Use the indefinite integral version of...
• (6.45) For a monatomic ideal gas, derive LO S = = Nkr In .N • And DE V и — = -krT in AN Nvo I TV Partition Function for an Ideal Gas . For one particle Z=e-E(s)/kp7 Vo = ve = (v2nimkot) • For N particles 1/VN V ve)
Problem 6.4. Equations of state of an ideal classical gas Use the result (6.26) to find the pressure equation of state and the mean energy of an ideal the equations of state depend on whether the particles are indistinguishable or distinguishable? gas. Do P ==KT In 2x = -kTN[um 5 in (SamkT) +1] (6.26)
derive an equation to explain the concept of fugacity in non ideal gas
4. Derive the expression for the root mean squared velocity of a gas from basic principles of mechanics. Explicitly list any assumptions that you make. Show that for an ideal gas PV = (1/3) n Mr v 2 ; n = number of moles, Mr = molecular mass and v = root mean square velocity
MODEL 2: THE IDEAL GAS LAW Gases demonstrate all of the following properties V x 17p VT Boyle's Law Charles's law Avogadro's Law CRITICAL THINKING QUESTIONS GUM OV which of the following incorporates all the gas behavior observed VONTP V." V Decall that yox is the same thing as y e x in which is a proportionality constant Rewrite the correct expression from CTQ5 with an equals sign, using the symbol Ras the proportionality constant. 7. Starting with your expression...