A system goes from $A$ to $B$ via two processes $I$ and $II$ as shown in figure. If $\Delta {U_1}$ and $\Delta {U_2}$ are the changes in internal energies in the processes $I$ and $II$ respectively, then
AIEEE 2005,AIPMT 2013,AIIMS 2014, Easy
Download our app for free and get startedPlay store
(c) As internal energy is a point function therefore change in internal energy does not depends upon the path followed

i.e. $\Delta {U_{\rm{I}}} = \Delta {U_{{\rm{II}}}}$

art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    A Carnot engine operating between two reservoirs has efficiency $\frac{1}{3}$. When the temperature of cold reservoir raised by $x$, its efficiency decreases to $\frac{1}{6}$. The value of $x$, if the temperature of hot reservoir is $99^{\circ}\,C$, will be $........\,K$
    View Solution
  • 2
    Suppose that two heat engines are connected in series, such that the heat released by  the first engine is used as the heat absorbed by the second engine, as shown in figure. The efficiencies of the engines are $\in_1$ and $\in_2$, respectively. The net efficiency of the combination is given by :
    View Solution
  • 3
    One mole of an ideal gas at initial temperature $T$, undergoes a quasi-static process during which the volume $V$ is doubled. During the process, the internal energy $U$ obeys the equation $U=a V^3$, where $a$ is a constant. The work done during this process is
    View Solution
  • 4
    The internal energy of an ideal gas depends upon
    View Solution
  • 5
    $n$ mole a perfect gas undergoes a cyclic process $ABCA$ (see figure) consisting of the following processes.

    $A \rightarrow B :$ Isothermal expansion at temperature $T$ so that the volume is doubled from $V _{1}$ to $V _{2}=2 V _{1}$ and pressure changes from $P _{1}$ to $P _{2}$

    $B \rightarrow C :$ Isobaric compression at pressure $P _{2}$ to initial volume $V _{1}$

    $C \rightarrow A$ : Isochoric change leading to change of pressure from $P _{2}$ to $P _{1}$

    Total workdone in the complete cycle $ABCA$ is

    View Solution
  • 6
    Considere the thermodynamics cycle shown on $PV$ diagram. The process $A \rightarrow B$ is isobaric, $B \rightarrow C$ is isochoric and $C \rightarrow A$ is a straight line process. The following internal energy and heat are given $: \Delta U_{A \rightarrow B} = + 400\,\, kJ$ and $Q_{B \rightarrow C} = - 500\,\, kJ$ The heat flow in the process $Q_{C \rightarrow A}$ is  ...... $kJ$
    View Solution
  • 7
    A gas taken through cyclic process $ABCA$ is shown in figure. If $2.4\,cal.$ of heat is given in the process, what is value of $J$ ...... $J/cal$ (mechanical equivalent of heat)?
    View Solution
  • 8
    Following figure shows two processes $A$ and $B$ for a gas. If $\Delta Q_A$ and $\Delta Q_B$ are the amount of heat absorbed by the system in two cases, and $\Delta U_A$ and $\Delta U_B$ are changes in internal energies, respectively, then
    View Solution
  • 9
    An insulator container contains $4\, moles$ of an ideal diatomic gas at temperature $T.$ Heat $Q$ is supplied to this gas, due to which $2 \,moles$ of the gas are dissociated into atoms but temperature of the gas remains constant. Then
    View Solution
  • 10
    A Carnot engine whose heat $\operatorname{sinks}$ at $27\,^{\circ} C$, has an efficiency of $25 \%$. By how many degrees should the temperature of the source be changed to increase the efficiency by $100 \%$ of the original efficiency $?$
    View Solution