... constantPV)(11)()( 22 1 122 1 121 VPVPVPVPRCTTnCWVV1 2 0lnVVnRTWQ 4 /29 /20 08 2 Chapter XV The First Law of ThermodynamicsĐ1. Heat, work and paths of a thermodynamic process 2.The first law of thermodynamicsĐ3. Kinds of thermodynamic ... reduce the pressureat the constant volume V14 → 2: keep the pressureconstant at p 2 while the gasexpands to the volume V 2 V1 4 /29 /20 08 10 2.The first law of thermodynamics: 2. 1 Internal ... and 2 :VppV1 2 31 2 41 → 3 : keep the pressure constantat p1while the gas expandsto the volume V 2 3 → 2 : reduce the pressure to p 2 atconstant volume V 2 p1V 2 p1p 2 p 2 1 →...
... improves the efficiency. 5/6 /20 08 16For the isothermal reversible expansion from the volume V1to V 2 :1 2 21 12 ln 2 1VVnRVdVnRTdQSSSVV 2 1 2 1 12 TdQdSSSS The ... s-4:111 2 CBVTVT111 2 DAVTVT&1111DCABVVVVDCABVVVV 2 1 2 1 2 1)/ln()/ln(TTVVVVTTQQABDC11 2 2||||TQTQ The ratio ofthe heat rejected and the heat absorbed is just equal to the ratio ofthe temperatures. 5/6 /20 08 15Đ3. Entropy and quantitative formulation of the second ... calculate the efficiency of a Carnotengine: 2 1 2 1 2 12 21||||1||||||TTQQQQQQWeCarnotRemark: The efficiency of Carnot engine depends only on the temperatures of two...
... Women and Their Spouses, 1970 and 20 07 Men and Their Spouses, 1970 and 20 07 % % 3363 27 3839 21 67374553 22 42 7064 28 10393731361970 20 071970 20 071970 20 071970 20 07Husband ... Women and Their Spouses, Black Men and Their Spouses, 1970 and 20 07 1970 and 20 07 % % 22 711637131478 29 3653 20 41 42 464710674558541970 20 071970 20 071970 20 071970 20 07Husband ... level of educationWife more educatedLess than high schoolHigh school graduateSome collegeCollege graduate31663 27 52 3864 22 52 43 23 5048 62 3678175114 23 1970 20 071970 20 071970 20 071970 20 07Husband...
... follow the standardassumption that the sign ofthe price of each good changes in the oppositedirection to the sign of profits from sales of this good. The following assumption about the relation ... description of the motivation for and the stipulations of these annuities from a textbookfor actuaries:These are usually effected to avoid the disappointment that is often felt in the event ofthe ... types of annuities. The theoretical implications of our modelling are supported byrecent empirical findings reported by Finkelstein and Poterba (20 02, 20 04), who studied the U.K. annuity market. ...
... disregard the effect of their actions on the equilibrium rate of return on annuities. The impact of individuals disregarding theiractions on the terms of insurance contracts is common in insurancemarkets. ... owners. The other risk class experiences aloss for the opposite reason.Another important implication ofthe fact that in equilibrium con-sumption is independent ofthe state of nature is the following. ... from the point of view ofthe early individuals (Diamondand Koszegi, 20 03). In the absence of commitment devices, the only wayto influence later decisions is via changes in the transfer of assets...
... analyzes the behavior of an individual who has noaccess to an annuity insurance market. In the face of uninsured longevity July 31, 20 07 Time: 03:51pm chapter0 2. tex14ã Chapter 2 Similarly, the ... example, Levy (1998) and the references therein. August 22 , 20 07 Time: 09:50am chapter0 1.tex 2 ã Chapter 1Figure 1.1. Survival functions for the social security population in the UnitedStates for ... policy that improvessocial welfare? Chapter 13 applies the theory of optimum commoditytaxation in examining the utilitarian social welfare approach to the pricing of annuities under full information....
... in this book. August 18, 20 07 Time: 11 :25 am chapter1 6.tex1 52 August 18, 20 07 Time: 11 :25 am chapter1 6.tex Chapter 16ã151Denote by expected profits in the period-1 market for annuities,ϕ(q11) ... retirement (in the United States the averageage of annuity purchasers is 62) .A recent survey in the United Kingdom (Gardner and Wadsworth, 20 04) reports that half ofthe individuals in the sample ... not consume.They purchase (long-term) annuities, each of which pays 1 in period 2 if the holder ofthe annuity is alive (all individuals survive to period1). Denote the amount of these annuities...