Soal IChO Ke-26

THEORETICAL PROBLEM No 7

(5 blue points, 5 red points)

a) When an ideal, monatomic gas expands reversibly from a volume V1 to a volume V2, a work

is performed on the system by the surroundings. In this equation, w is the work and P is the pressure of the gas.

Determine the performed work when one mole ideal gas expands isothermally from V1 = 1.00 dm³ to V2 = 20.0 dm³ at the temperature T = 300.0 K.

Given: The gas constant R = 8.314 J K^-1mol^-1.

b) Determine how much heat must be added to the gas during the process given under a).

c) The gas will perform less work in an adiabatic expansion than in an isothermal expansion. Is this because the adiabatic expansion is characterized by (check the square you think is most important).

1: The volume of the gas is constant

2: The expansion is always irreversible

3: No heat is supplied to the gas

d) The cyclic process shown schematically in Figure 1 shows the four steps in a refrigeration system with an ideal gas as working medium. Identify the isothermal and adiabatic steps in the process. Here, TH and TC represent high and low temperature, respectively. Specify for each step whether it is adiabatic or isothermal.

Fig. 1 (not reproduced in this report shows a Carnot cycle)

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