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Thermodynamics - partial derivatives

# Thermodynamics - partial derivatives - Iii{TBA PRCJELEHE UN...

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Unformatted text preview: Iii-{TBA PRCJELEHE UN E'hHTIhL ijLLHi'x-':'1.'Il'~".'_.b 1. ﬁre the following differential expressions exact? {a} rd! + xd? Eh} xdx + ydy {c} 2xyex + xzdy 2. Derive the followrhgxequations: {a} #4: {e“+”T'(L“hZT f m Cv:“T{E’?'/ﬁfz)v “‘3‘ (ﬂ = H +TKM/zrlp e: were)? 3. {a} Derive the formula Eﬁqirj‘ﬂh ET; 1‘! (h) Prove that cw of a van der Waals gas is a function of T only. a Derive th formula T/BEV - E vvt— ::- 2 t??? L EFT 5. From the fact that dtjf'is an exact differential derive the 5:] f (9%»: 43%}? I @=v'(%%o<=-ﬂ% 5. The pressure on 1 kg of liquid water at 2?3 K is increased reversibly and isothermally from 0.1 Hrs to lﬂﬂ HPa. {a} How much heat is transferred? (b) How much work is done? to} What is the change in internal energy? .Fﬂf The coefficient of thermal expensionfBZrﬂgmﬂﬁ the compressibilityd: ql‘gxw'fﬁl the specific heatjg;f 7, “2f? qgand the specific volume .e: rﬁﬁrh . Assume these quanti ies rem i practically cons nt. ﬁg EJBLf 22 3: M W (W MKAng/H/WXJQJJQ A-E’Mb / (djﬁ'ﬁgﬁgﬂg : [email protected]%)+ci? :FTUQAP Qﬁ'gwe‘h '35 ’TVG‘lP =+n¢23éJ ﬂ‘ma we Iﬁﬂ A'W: = --VD<P&£?_ Wz-SvafFJFﬁﬂL/ogé ‘E -I' W: — r9. arc/ﬂ We??? (L‘JWWJQ Haﬂﬂéhjcﬂ‘a: (gang; M ...
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Thermodynamics - partial derivatives - Iii{TBA PRCJELEHE UN...

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