2.135. 152-S1=-• vR (In a
yin
=1.0 J/K.
'
2.136. AS =
(n
(n-1) (
OR
v —1) In T.
v
2.137. AS —v(+1).R ln a 46 J/K.
71
2.138. V7n Vo/a (1 +1').
2.139. T = To+ (R/a) In (V/Vo)•
2.140. AS = R In [(V2 — b)/(Vi — b)].
2.141. AS = Cv In (T2/T1) + R In [(V2 — b)/(Vi — b)].
2.142. S = aT3/3.
2.143. AS = m [a In (T2/T1) + b (T 2 —
T
Ti)] = 2.0 kJ/K.
2.144. C = Sin; C <0 for n <0.
2.145. T = T oes-sox. See Fig. 15.
2.146. (a) C= —air; (b) Q.- a In (T1/T2);
(c) A = a In (Ti/T2 ) + Cv
T2)•
C<0
2.147. (a)
= (n — 1)/2n; (b) = (n —
—1)/(n + 1).
2.148. AS = vR In n = 20 J/K.
so
2.149. AU = (2Y-1 — 1) RT0/(y —1), AS
Fig. 15.
= R In 2.
2.150. The pressure will be higher after the fast expansion.
2.151. AS = v1R In (1 + n) + v2R In (1 + 1/n) = 5.1 J/K.
2.152. AS = m1cl In (T/Ti) + m2c2 In (T/T 2) = 4.4 J/K, where
7' =
+ m2c2 T2)/(m1c1 + m2c2), c1 and c2 are the specific
heat capacities of copper and water.
2.153. AS = Cv In (T 4T
+ Ts)2 >0.
irg
2.154. (a) P .112N; (b) N — hrog (t2 IT) 80, where
10-2 s is
the mean time which takes a helium atom to cover distances of
the order of the vessel's dimensions.
2.155. Op,. = Ar1/1(N/2)!P = 252. Pnia = 52 p7.12N = 24.6%.
2.156. Po,—
N!
'
• 1/32, 5/32, 10/32, 10/32, 5/32, 1/32
n! (N—n)! 2N
respectively.
2.157. Pn= n1 ovNI
where p.V /V°.
2.158. d= )3 76/Icn0re= 0.4 fun, where no is Loschmidt's number; (n)
= 1.0 .106.
2.159. Will increase S2/00 = (1 + AT/To)iNA/2 = 101. 31.10"
times.
2.160. (a) Ap = 4a/d = 13 atm; (b) Ap = 8a/d = 1.2.10-3 atm.
2.161. h = 4alpgd = 21 cm.
2.162. a = 1/8pod (1. — re/n)/(112 — 1).
2.163. p = po + p gh 4a/d 2.2 atm.
2.164. h= [Po (n3 — 1) + 4a (n2 — 1)/d1/pg = 5 m.
2.165. Ah = 4a I cos 0 I (d2 — dOldid2pg = 11 mm.
C>0
yin
=1.0 J/K.
'
2.136. AS =
(n
(n-1) (
OR
v —1) In T.
v
2.137. AS —v(+1).R ln a 46 J/K.
71
2.138. V7n Vo/a (1 +1').
2.139. T = To+ (R/a) In (V/Vo)•
2.140. AS = R In [(V2 — b)/(Vi — b)].
2.141. AS = Cv In (T2/T1) + R In [(V2 — b)/(Vi — b)].
2.142. S = aT3/3.
2.143. AS = m [a In (T2/T1) + b (T 2 —
T
Ti)] = 2.0 kJ/K.
2.144. C = Sin; C <0 for n <0.
2.145. T = T oes-sox. See Fig. 15.
2.146. (a) C= —air; (b) Q.- a In (T1/T2);
(c) A = a In (Ti/T2 ) + Cv
T2)•
C<0
2.147. (a)
= (n — 1)/2n; (b) = (n —
—1)/(n + 1).
2.148. AS = vR In n = 20 J/K.
so
2.149. AU = (2Y-1 — 1) RT0/(y —1), AS
Fig. 15.
= R In 2.
2.150. The pressure will be higher after the fast expansion.
2.151. AS = v1R In (1 + n) + v2R In (1 + 1/n) = 5.1 J/K.
2.152. AS = m1cl In (T/Ti) + m2c2 In (T/T 2) = 4.4 J/K, where
7' =
+ m2c2 T2)/(m1c1 + m2c2), c1 and c2 are the specific
heat capacities of copper and water.
2.153. AS = Cv In (T 4T
+ Ts)2 >0.
irg
2.154. (a) P .112N; (b) N — hrog (t2 IT) 80, where
10-2 s is
the mean time which takes a helium atom to cover distances of
the order of the vessel's dimensions.
2.155. Op,. = Ar1/1(N/2)!P = 252. Pnia = 52 p7.12N = 24.6%.
2.156. Po,—
N!
'
• 1/32, 5/32, 10/32, 10/32, 5/32, 1/32
n! (N—n)! 2N
respectively.
2.157. Pn= n1 ovNI
where p.V /V°.
2.158. d= )3 76/Icn0re= 0.4 fun, where no is Loschmidt's number; (n)
= 1.0 .106.
2.159. Will increase S2/00 = (1 + AT/To)iNA/2 = 101. 31.10"
times.
2.160. (a) Ap = 4a/d = 13 atm; (b) Ap = 8a/d = 1.2.10-3 atm.
2.161. h = 4alpgd = 21 cm.
2.162. a = 1/8pod (1. — re/n)/(112 — 1).
2.163. p = po + p gh 4a/d 2.2 atm.
2.164. h= [Po (n3 — 1) + 4a (n2 — 1)/d1/pg = 5 m.
2.165. Ah = 4a I cos 0 I (d2 — dOldid2pg = 11 mm.
C>0