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Two identical isolated containers A and B contain ideal gases with the same number of moles. Container A is at a temperature while container B is at a temperature . A third identical container C is evacuated and brought into thermal contact with A and then with B. If the final temperature of C is , which of the following relations is correct?
T_C = T_A
T_C = (3/2)T_A
T_C = (5/4)T_A
T_C = 2T_A
Two different metallic rods of the same length have their ends kept at the same temperatures and with . If and are their cross-sectional areas, and their thermal conductivities, the rate of heat flow is the same in both the rods. The condition for this is:
KβAβ = KβAβ
KβAβ = KβAβ
Kβ/Aβ = Kβ/Aβ
Aβ/Aβ=Kβ/Kβ
A body cools from 50Β°C to 40Β°C in 5 minutes. The surrounding temperature is 20Β°C. In the next 5 minutes, it will cool approximately to:
33.33Β°C
35Β°C
36.67Β°C
32Β°C
A solid sphere and a hollow sphere of the same material and radius are heated to the same temperature and allowed to cool in the same environment. Which sphere will have a higher initial rate of cooling?
Solid sphere
Hollow sphere
Both will cool at the same rate
Insufficient information
A diatomic ideal gas undergoes a thermodynamic process in which its molar heat capacity is . Which of the following processes could this represent?
Isobaric process
Adiabatic process
Polytropic process with
Isothermal process
One mole of an ideal monatomic gas undergoes a reversible process described by . The molar heat capacity of the gas during this process is:
3R/2
R/2
5R/2
2R
An ideal gas undergoes a cyclic process as shown in the diagram. The work done by the gas in the complete cycle is: