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Thermodynamics ...

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  • Question 1
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    A fixed mass of a gas is taken through a process $$A\rightarrow B\rightarrow C\rightarrow A$$. Here $$A\rightarrow B$$ is isobaric. $$B\rightarrow C$$ is adiabatic and $$C\rightarrow A$$ is isothermal. Find efficiency of the process. (take $$\gamma = 1.5)$$.

  • Question 2
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    A cyclic process $$ABCD$$ is shown in the figure P-V diagram. Which of the following curves represent the same process?

  • Question 3
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    A and B are two adiabatic curves for two different gases. Then A and B corresponds to:

  • Question 4
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    $$300$$ gm of water at $$25^o$$C is added to $$100$$gm of ice at $$0^oC$$ . Final temperature of the mixture is:

  • Question 5
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    During adiabatic expansion of gas, volume increases by $$5\%$$. If $$\gamma = 3/2$$ find the percentage change in pressure?

  • Question 6
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    Two vessels $$A$$ and $$B$$ of equal volume $$V_{0}$$ are connected by a narrow tube which can be closed by a valve. The vessels are fitted with pistons which can be moved to change the volumes. Initially, the valve is open and the vessels contain an ideal gas $$(C_{P}/ C_{v} = \gamma)$$ at atmospheric pressure $$P_{0}$$ and atmospheric temperature $$T_{0}$$. The walls of the vessels $$A$$ are diathermic and those of $$B$$ are adiabatic. The valve is now closed and the pistons are slowly pulled out to increase the volumes of the vessels to double the original value.
    Find the temperatures and pressures in the two vessels.

  • Question 7
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    Five moles of hydrogen is heated through 20K under constant pressure. If R$$=$$8.312J/mole K Find the external work done.

  • Question 8
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    An ideal gas has a molar heat capacity $$C_{v}$$ at constant volume. Find the molar heat capacity of this gas as a function of its volume $$V$$, if the gas undergoes the following process (a) $$T = T_{0} e^{\alpha V}$$ (b) $$P = P_{0}e^{\alpha V}$$.

  • Question 9
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    The temperature $$T_1$$ and $$T_2$$ of two heat reservoirs in the ideal carnot engine are $$1500^oC$$ and $$500^oC$$ respectively.Which of these,increasing $$T_1$$ by $$100^oC$$ or decreasing $$T_2$$ by $$100^oC$$ ,would result in a greater improvement in the efficiency of the engine?

  • Question 10
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    A motor cycle engine delivers a power of 10 kW, by consuming petrol at the rate of 2.4 kg/hour. If the calorific value of petrol is 35.5 MJ /kg, the rate of heat rejection by the exhaust is 

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