Exam (elaborations) TEST BANK FOR An Introduction to Equilibrium Thermodynamics By Bernard Morrill (Auth.) (Solution Manual)

Pergamon Press Inc. New York • Toronto • Oxford • Sydney • Braunschweig 1 1-1 t = TOO C s t = 212°P s Chapter 1 1-5 t. = Ov l C t± = 32°F t°P = (32 + 1.8°C) 1-2 pV = n PT Y = » P 1-3 k = JR N. k = k = 5.662x10"24 ft lbf/part. °R k = 200 !00 x 2 = 400 in-lbf 33.33 ft-lbf 1 = 0.0428 BTU 1-6 W = 4k x2 e where k1+ k 2 ke " k1 k2 "k1k 2 k -40x60 e k1 +k2 40+60 W = - i x 24 x (i)2 = W = -T2 = 0 .25 ft-: = 24 Ibf/in 3.21 x 10~4 BTU = C 1°C 1.8°P w kx2 1-4 ¥ = k = 40 W = - 45 in-lbf A r -3.75 ft-lbf W = - 3.75/778 = - .00482 BTU W = 0.491 BTU W = p(v2 - V1) = 190.99(5-3) = 381.97 ft lbf 190.99 lbf/ft2 P = 2 1-8 For a constant temperature process pV = C From initial condition C = 200 x 144 x 3 = 86400 ft lbf Then W = C In V = 86400 x In 5/3 = 86400 x 0.5108 W = 44135 ft lbf 1-9 cont. c) z = J" y cos x dx + sin x dy dz = y cos x dx + sin x dy 1-10 u = A ( RT + pB) du = A(Rdt + Bdp) 1-11 AU = AQ - AW AW = p (V9 - V. ) constant pressure process AW = 5.553 BTU AQ = - 8.5 BTU AU = - 8.5 + 5.553 = - 2.947 BTU Au = Au = - 12.85 BTU/lbm continued cos x = cos x dz is exact = 56.73 BTU 1-9 2 a) z = 3xy + 4x dz = (3y + 8x)dx + 3x dy If exact then 3 = 3 dz is exact b) z = x2 + xy + yx 3 dz = (2x + 3y + 3yx2)dx + (3x + x5)dy 3 + 3x2 = 3 + 3x2 dz is exact m = 0.22 3 1-14 cont. = .375 x .171 x (425 - 70) + 40 ¥ = - 62.76 BTU 1-12 1 HP = ^ Q ° ° = 42.42 BTU/min dV = dQ - d¥ dU dQ_ d¥ dt dt dt = - 30. + 42.4 H = 12.4 BTU/min 1-15 cyAT = Au m cy _ J^4 _ .124 BTU/min°R M ~ 171 ~ *^2^ lbm/min 1-13 W = ^pdV For constant energy process, T = C Then pV = C v ¥ = C J ^=Cln^- v1 1 P, - - S^HP2* = * » ° P* „ P1V 1 28520 x 1 _ . 0 = 778 ~ 778 36' 65 W = 36.65 In 2. W = 40.26 BTU ¥ = 31330 ft lbs Q = W = 40.26 BTU 1-16 u = (j(x1 fx2,x3) " - 1 2 , DX1 + ^ D J C 2 + % D X 3 Extensive property conjugate to , v v ^ax1 ' xi Q X 2 ' ^ X2 •?S_ 1 „ ^ x 3 - *3 1-17 Given pV = C RT Then I OT r"1 - "l (.) continued 1-14 RT 53.3 x 530 iD* -A V = A U - = JB O y 4kT - ,A Q continued