During an isothermal expansion, a confined ideal gas does $-150 \,J$ of work against its surroundings. This implies that
AIPMT 2011, Easy
Download our app for free and get startedPlay store
$150 \mathrm{J}$ of heat has been added to the gas

From the first law of thermodynamics

$\Delta \mathrm{U}=\mathrm{Q}+\mathrm{W}$

For isothermal process, $\Delta U=0$

therefore, $Q=-w$

Given $\mathrm{W}=-150$

Therefore, $Q=+150$

When $Q$ is positive, the heat is added to the gas.

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
    The pressure of an ideal gas varies with volume as $P = \alpha V,$ where $\alpha $ is a constant. One mole of the gas is allowed to undergo expansion such that its volume becomes $'m'$  times its initial volume. The work done by the gas in the process is
    View Solution
  • 2
    In a cyclic process, a gas is taken from state $A$ to $B$ via path $-I$ as shown in the indicator diagram and taken back to state $A$ from state $B$ via path $-II$ . In the complete cycle
    View Solution
  • 3
    The given diagram shows four processes i.e., isochoric, isobaric, isothermal and adiabatic. The correct assignment of the processes, in the same order is given by
    View Solution
  • 4
    A Carnot's heat engine works between the temperatures $427^{\circ} C$ and $27^{\circ} C$. $...........\,kcal / s$ amount of heat should it consume per second to deliver mechanical work at the rate of $1.0\,kW$
    View Solution
  • 5
    A cyclic process $ABCD$ is shown in the given $P-V$ diagram. $P-T$ diagram that  represents the same process is
    View Solution
  • 6
    A soft plastic bottle, filled with water of density $1 gm / cc$, carries an inverted glass test-tube with some air (ideal gas) trapped as shown in the figure. The test-tube has a mass of $5 gm$, and it is made of a thick glass of density $2.5 gm / cc$. Initially the bottle is sealed at atmospheric pressure $p_0=10^5 Pa$ so that the volume of the trapped air is $v_0=3.3 cc$. When the bottle is squeezed from outside at constant temperature, the pressure inside rises and the volume of the trapped air reduces. It is found that the test tube begins to sink at pressure $P_0+\Delta p$ without changing its orientation. At this pressure, the volume of the trapped air is $v_0-\Delta v$.

    Let $\Delta v=X$ cc and $\Delta p=Y \times 10^3 Pa$.

    ($1$) The value of $X$ is

    ($2$) The value of $Y$ is

    Give the answer or quetion ($1$) and ($2$)

    View Solution
  • 7
    Column $I$ Contains a list of processes involving expansion of an ideal gas. Match this with Column $II$ describing the thermodynamic change during this process. Indicate your answer by darkening the appropriate bubbles of the $4 \times 4$ matrix given in the $ORS$.
    Column $I$ Column $II$
    $(A)$ An insulated container has two chambers separated by a valve. Chamber $I$ contains an ideal gas and the Chamber $II$ has vacuum. The valve is opened. $(p)$ The temperature of the gas decreases
    $(B)$ An ideal monoatomic gas expands to twice its original volume such that its pressure $\mathrm{P} \propto \frac{1}{\mathrm{~V}^2}$, where $\mathrm{V}$ is the volume of the gas $(q)$ The temperature of the gas increases or remains constant
    $(C)$ An ideal monoatomic gas expands to twice its original volume such that its pressure $\mathrm{P} \propto \frac{1}{\mathrm{~V}^{4 / 3}}$, where $\mathrm{V}$ is its volume $(r)$ The gas loses heat
    $(D)$ An ideal monoatomic gas expands such that its pressure $\mathrm{P}$ and volume $\mathrm{V}$ follows the behaviour shown in the graph $Image$ $(s)$ The gas gains heat

    View Solution
  • 8
    If $\Delta Q$ and $\Delta W$ represent the heat supplied to the system and the work done on the system respectively, then the first law of thermodynamics can be written as
    View Solution
  • 9
    Thermodynamic processes are indicated in the following diagram. 

    Match the following

     $\begin{array}{|l|l|} \hline Column\,\,-\,\,1 & Column\,\,-\,\,2 \\ \hline P\,:\,Process\,\,-\,\,I & \,\,A\,\,:\,\,Adiabatic \\ \hline Q\,:\,Process\,\,-\,\,II & \,\,B\,\,:\,\,Isobaric \\ \hline R\,:\,Process\,\,-\,\,III & \,\,C\,\,:\,\,Isochoric \\ \hline S\,:\,Process\,\,-\,\,IV & \,\,D\,\,:\,\,Isothermal \\ \hline \end{array}$

     

    View Solution
  • 10
    One mole of an ideal diatomic gas undergoes a transition from $A$ to $B$ along a path $AB$ as shown in the figure. 

    The change in internal energy of the gas during the transition is ............$\;kJ$

    View Solution