Prove that the entropy change is positive

Assignment Help Chemistry

Reference no: EM131353582

A body of constant heat capacity C_p and at a temperature T_i is put in contact with a reservoir at a higher temperature T_f.

The pressure remains constant while the body comes to equilibrium with the reservoir. Show that the entropy change of the universe is equal to

ΔS = C_p[x - ln(1+x)];

where x = -(T_f - T_i)/T_f. Prove that the entropy change is positive.

Reference no: EM131353582

Questions Cloud

What would have been the entropy change of the universe : If the water had been heated from 273 to 373 K by first bringing it into contact with a reservoir at 323 K and then with a reservoir at 373 K, what would have been the entropy change of the universe?

What is value of the tracking signal as of end of december : The following are monthly actual and forecast demand levels for May through December for units of a product manufactured by the D. Bishop Company in Des Moines: What is the value of the tracking signal as of the end of December

Equation and the real gas equation : Using the following data, calculate the pressure of 1.00mol of Ar(g) in a 40.0L container at 25 degrees Celcius using both the ideal gas equation and the real gas equation. Why are these two values so different? (aAr=136.3L2kPa mol-2; bAr=0.0322L ..

Sample of an ideal gas occupies : A 4.00g sample of an ideal gas occupies 1.24L at 23 degrees Celcius and 1.12bar. What will be its volume at 14 degrees Celcius and 1.50bar?

Prove that the entropy change is positive : A body of constant heat capacity Cp and at a temperature Ti is put in contact with a reservoir at a higher temperature Tf.- Prove that the entropy change is positive.

Determine kp then determine equilibrium partial pressure : The reaction CH4(g) + H2O(g) CO(g) +H2(g) has Kc=8.73x10^2 at 400 degrees Celcius. Determine Kp then determine the equilibrium partial pressures AND the equilibrium concentrations of both the products if the 260 L container initially contained 3..

What percent of her backyard will not be watered directly : Gardening Migina bought a new sprinkler that covers part or all of a circular area. With the center of the sprinkler as the origin, the sprinkler sends out water far enough to reach a point located at (12, 16). (Lesson 10-2)

Partial pressures of the three gases : The combustion of SO2(g) has Keq=5.60x10^4 at 350 degrees Celcius. If 0.350bar of SO2(g) and 0.762bar of O2(g) are mixed initially, what are the partial pressures of each of the three gases when the mixture reaches equilibrium? Reaction: SO2(g) + ..

How do you see the issues presented in the play : How do you see the theme of "fate" as alike or different when comparing Sophocles' Oedipus and Antigone - how do you see the issues presented in the play Antigone relating to people and/or events in 2015?

User Account

All Pages