Quiz5_Solution

Quiz5_Solution - Quiz 5. Monday, March 16th, 2009 PHY 252...

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Unformatted text preview: Quiz 5. Monday, March 16th, 2009 PHY 252 Name: 1. Container A holds an ideal gas at a pressure of 3.0 X 105 Pa and a temperature of 300. K. It is connected by a thin tube (and a closed valve) to container B, which has four times the volume of A. Container B holds the same ideal gas at a pressure of 1.0 x 105 Pa and a temperature of 400. K. The valve is opened to allow the pressures to equalize, but the temperature of each container is maintained. What then is the pressure in the two containers? (3 points) Conserve the “bi-“be?” 0:} Wales Since ii? is acloseoi Sadie!“ (“A * “ales... = ("a + “aha... APlej island. Gas Law PAVA + Pave :1 9W: 1. PUB P = Fulani. lav-ware RTA RTn RTA R a PM. my.& (VB—17+ ‘ : + I0 + P " ‘0 R1,. are :—_ A 3 v,, *rl5 £1 + 1.9:. l 1- RTA' R 3 VA TB 5 s u. 3 P ._ 3x:o P... + (1x10 Pq)x 7...; ll Quiz 5. Monday, March 16th, 2009 PHY 252 C P 112- 2. The figure gives the probability distribution of ' <69 molecular speeds in nitrogen gas. a. Estimate the temperature of the gas. (2 points) Q EL. Peak Speed, Cp : 600 mls - ‘. ’ 2 R—T :: C 7° M _ 2 ._ _:, Mc‘ _I_(0.028*3)(éoom[5] 0 300 600 900 12001500 R 2. asurwmd k speed 0 (m/s) “2 T a: £06 K 7" b. Estimate (c2) — cp ,the difference between the rms s eed and the eak speed. (2 points) u _ sarr ,, 2:“ =(/§3_ HE} =(——:)C <62) 1 r C? ‘r “.5.— H 2 I H E P _. ( %H|)¥600MI_5 r. ISS'MLS y" 0. Estimate the internal energy per mole due to molecular rotations. (2 bonus points) Mltrodevt '13 a, diatomic Two rotational. dear-€65 0-S- freeaDoM are active, Each Sets {797' per- mole = lxfiRT =RT =(8~3”r:rlmol.k)i£606k Eraj: = SKI’mole 3. 8 moles of an ideal diatomic gas undergo the PV cycle shown in the figure. a. What is the temperature of the gas at A? (1 point) TA : ng.‘ : (l0#Pq)u{2M3) In R 8x 8-314-Vimolak \ Erni' T4 = 3003K a 300K '3" b. What is the temperature of the gas at C? (1 point) 0 4 6 8 10 12 9V ' ' )2 2:. Va 1 ___T___ 1.9 cousiant, . . TA Tr: mm.) TL: [in = gm : ISook ._—_.—__._aL Vt c. How much heat is transferred in the process C to A? (Take care with the sign). (1 point) “The process (3—3/1 is aft Constant Volume. No work is alone, The specific. heft at Cousin“: volume joi- <1 diatomicaa is CV :51; _ . - 5 2 ,, Q = nCv(TA-T¢) - 3x31(8'3'43/mol.k)(300-7~1503-4L) CA —— 20:) K3 71L —.u —‘ CA ...
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Quiz5_Solution - Quiz 5. Monday, March 16th, 2009 PHY 252...

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