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Thermodynamics ...

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  • Question 1
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    When an ideal gas undergoes an adiabatic change causing a temperature change of $$\Delta$$T, then which of the following statements are correct
    (i) there is no heat gained or lost by the gas
    (ii) the work done by the gas is equal to change in internal energy.
    (iii) the change in internal energy per mole of the gas is $$C_v \times \Delta T$$, where $$C_v$$ is the molar heat capacity at constant volume

  • Question 2
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    One mole of a gas is subjected to two process AB and BC, one after the other as shown in the figure. BC is represented by $$PV^n = Constant$$. We can conclude that $$(T = temperature, W = work$$ done by gas, $$V = volume$$ and $$U = internal \ energy)$$

  • Question 3
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    Two samples of gases 1 and 2 are initially kept in the same state. Sample 1 is expanded through an isothermal process whereas sample 2 through an adiabatic process up to the same final volume. The final temperature in process 1 and 2 are $$T_1$$ and $$T_2$$ respectively, then

  • Question 4
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    Two samples of gases 1 and 2 are initially kept in the same state. Sample 1 is expanded through an isothermal process whereas sample 2 through an adiabatic process up to the same final volume. Let $$P_1$$ and $$P_2$$ be the final pressure of the samples 1 and 2 respectively then

  • Question 5
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    Directions For Questions

    The work done during adiabatic reversible process is given by $$\displaystyle w=\dfrac { nR[{ T }_{ f }-{ T }_{ i }] }{ \gamma -1 } $$. Thus, if $$\displaystyle { T }_{ f }>{ T }_{ i }$$, then since $$\displaystyle \gamma-1=+ve\ (\because \gamma >1)$$, the work done is +ve i.e., work is done on gas. Also if $$\displaystyle { T }_{ f }<{ T }_{ i },w=-ve$$, thus work is done by the gas. 

    The adiabatic process are more steeper than isothermal process and slope of adiabatic process $$\displaystyle =\gamma \times $$slope of isothermal process and slope of adiabatic process > slope of isothermal process (since $$\displaystyle \gamma >1$$). Also the adiabatic process obey $$\displaystyle { PV }^{ \gamma }$$= constant, whereas in isothermal process PV = constant.

    ...view full instructions

    Which of the following shows adiabatic process in the figures given below?

  • Question 6
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    Separation between the plates of a parallel plate capacitor connected to a battery (zero resistance) of constant e.m.f. is increased with constant (very slow) speed by external forces During the process W is the work done by external forces $$\displaystyle \Delta U $$ is the change in potential energy of the capacitor, $$\displaystyle W_{b}$$ is the work done by the battery and H is the heat loss in the circuit Then

  • Question 7
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    If $$\gamma $$ denotes the ratio of the two specific heats of a gas, the ratio of the slopes of adiabatic and isothermal $$p-V$$ curves at their point of intersection is

  • Question 8
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    A reversible engine converts one-sixth of the heat supplied into work. When the temperature of the sink is reduced by $$\displaystyle { 62 }^{ \circ  }C$$, the efficiency of the engine is doubled. The temperature of the source and sink are:

  • Question 9
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    $$200\ g$$ water is heated from $$40^oC$$ to $$60^oC$$. Ignoring the slight expansion of water, the change in its internal energy is close to:

    (Given specific heat of water $$= 4184\ J/kg/K$$)

  • Question 10
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    In a thermodynamic processes, If the amount of work done on the gas by its surrounding is 320 J and the internal energy is increased by 560 J. Calculate the how much heat is transferred between the gas and its surrounding.

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