Chem_340_Homework_Set_2_Spring_2012

Chem_340_Homework_Se - V d T d n d P d ln ln ln ln − = b Suppose 1.0000 mol of ideal gas at 300.00 K in a 30.000-L vessel has its temperature

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CHEM 340 Physical Chemistry for Biochemists I Spring 2012 Homework Set No. 2 Due on Friday, January 27, 2012 1. Find dy/dx of ( a ) x e x 3 3 2 , ( b ) 2 3 5 x e , ( c ) x 2 ln , ( d ) ) 1 ( 1 x , ( e ) ) 1 ( + x x , ( f ) ) 1 ln( 2 x e , ( g ) x 3 sin 2 2. ( a ) Find dy/dx, if 2 = y xy . ( b ) Find dy if 1 / 2 3 5 2 + = x x x y . ( c ) Find 2 3 2 2 ) ( dx e x d x 3. Find y of ( a ) sin ( axy ), ( b ) cos ( by 2 z ), ( c ) y x xe / , ( d ) tan (3 x + 1), ( e ) ) 1 /( 1 / + y a e , ( f ) f(x)g(y)h(z) 4. ( a ) If x x y 6 4 3 + = , find dy . ( b ) If 3 2 3 y x z = , find dz . ( c ) If P=nRT/V where R is a constant and all other quantities are variables, find dP . 5. ) /( ) ( 2 2 x y z y x z = . 6. ( a ) For an ideal gas use the total differential of z ( x,y ) to show that ) ( 1 1 1 dV V dT T dn n P dP + = (which can be written as
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Unformatted text preview: V d T d n d P d ln ln ln ln − + = ). ( b ) Suppose 1.0000 mol of ideal gas at 300.00 K in a 30.000-L vessel has its temperature increased by 1.00 K and its volume increased by 0.050 L. Use the result of ( a ) to estimate the change in pressure, ∆ P . ( c ) Calculate ∆ P exactly for the change in ( b ) and compare with the estimate given by dP . 7. From Atkins and dePaula do the following problems that can be found in pages 18 and 19: F10, F11, F12, F22, F32, F33....
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This note was uploaded on 04/07/2012 for the course CHEM 340 taught by Professor Staff during the Spring '08 term at Ill. Chicago.

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