Law Problems
#1 Law = Boyles
P1 = 800 cwp, P2 = 1500 cwp, V1 = 500cc V2 = ?
P1 V1 = P2V2
V2 = P1 V1 = (800) (500) = 4000 = 266.6cc
P2 1500 1500
#2 Boyles V1 = 100 cc, P1 = 100 cwp, V2 = 450cc
P2 = ? P1 V1 = P2 V2
P1 V1 = P2 (100) (100) = 100 x 1 = P2 = 22.2 cwp
V2 450 4.5
#3 Charles V1 = 800cc ,T1 = 40oC, T2= 60oC
V2 = ?
V1 = V2 V1 T2 = T1 V2 V1 T2 = V2
T1 T2 T1
T1 = 40oC + 273o = 313ok
T2 = 60oC + 273o = 333ok
(800) (333ok) = 2664 =851.1cc
313ok 313k
#4 Charles V1 = 200cc, T1 = 20oC, V2 = 650cc
T2 = ? (V1 = V2) V1 T2 = T1 V2 T2 = T1 V2
(T1 T2) V1
T1 = 20oC + 273ok = 293o k
T2 = (293ok) (650cc) = 1904.5 = 952.2ok
200cc 200cc
T2 = 952.2-273 = 679.25oC
#5 Gay-Lussacs P1 = 200 cwp, Ti = 70oF, T2 = 40oF
P2 = ? P1 = P2 = P1 T2 = T1 P2 P1 T2 = P2
T1 T2
T1
T1 = 70oF + 460 = 530oR
T2 = 40oF + 460 = 500oR
(200) (500) = (1000) = P2 = 188.6 cwp
530 5.3
#6 Gay-Lussac’s P1 = 850 cwp, T1 = 45oC P2 = 300 cwp T2 = ?
P1 = P2 P1T2
= T1P2 T2 = T1P2
T1 T2
P1
T1 = 45oC + 273 = 318o/C
T2 = (318oC)(300) = 954
= 112.2ok
850
8.5
112.2-273 = - 160.7oC
#7 Universal P1 V1 = P2 V2 P1 V1 T2 = P2 V2 T1
T1 T2
T2 = P2 V2 T1 P1 = 900, T1 = 75oC + 273o = 348oK V1 = 400cc, P2 = 600cwp V2 = 600cc
P1 V1
T2 = (600 cwp) (600cc) (348oC) = 123528
(900 cwp) (400cc) 36
= 348oK – 273 = 75oC
#8 Universal P1 V1 = P2 V2 P1 V1 T2 = T1 P2 V2
T1 T2
V1 = T1 P2 V2
P1 T2
P1 = 350 cwp
T1 = 40oF + 460o= = 500oR
P2 = 300 cwp V2 = 2000cc
T2 = 80oF + 460 = 540oR
V1 = (500oF) (300 cwp) (2000cc)
(350 cwp) (540oF)
= (15) (2000) = 30000 = 1587.3cc
(3.5) (5.4) 18.9
#9. Prob, p12, McPher P1 = P2 P1 T2 = T1 P2
T1 T2
P1 =2400 psig,
T2 = 110oF
P2 = ? P1 T2 = P2
T1
T1 = 70oF T1 = 70oF + 460 = 530oF
T2 = 110oF + 460 = 570oF
P2 = (2400 psig ) (570oF) = 13680 = 2581.13 psig
(530oF) 5.3
CB/dc
Law Problems