Air is pumped into a balloon, of initial volume $V$ , until its diameter has doubled. If the atmospheric pressure is $p$ , what is the work done against the atmosphere ? 
Medium
Download our app for free and get startedPlay store
$V\ \propto \  R^3, R \rightarrow  2R$ then $V \rightarrow  8V$

Work $ = P (8V -V) = 7PV$ [isobaric process]

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’s engine is made to work between $200°C$ and $0°C$ first and then between $0°C$ and $-200°C.$ The ratio of efficiencies of the engine in the two cases is
    View Solution
  • 2
    Graph $A-B$ is an adiabatic curve. Choose the correct statement
    View Solution
  • 3
    A measure of the degree of disorder of a system is known as
    View Solution
  • 4
    A reversible cyclic process for an ideal gas is shown below. Here, $P , V$, and $T$ are pressure, volume and temperature, respectively. The thermodynamic parameters $q, w, H$ and $U$ are heat, work, enthalpy and internal energy, respectively.

    The correct option ($s$) is (are)

    $(A)$ $q_{A C}=\Delta U_{B C}$ and $W_{A B}=P_2\left(V_2-V_1\right)$ $(B)$ $W _{ BC }= P _2\left( V _2- V _1\right)$ and $q _{ BC }= H _{ AC }$ $(C)$ $\Delta H _{ CA }<\Delta U _{ CA }$ and $q _{ AC }=\Delta U _{ BC }$ $(D)$ $q_{B C}=\Delta H_{A C}$ and $\Delta H_{C A}>\Delta U_{C A}$

    View Solution
  • 5
    An enclosed one mole of a monoatomic gas is taken through a process $A$ to $B$ as shown in figure. The molar heat capacity of the gas for this process is
    View Solution
  • 6
    Carnot cycle is plotted in $P-V$ graph. Which portion represents an isothermal expansion?
    View Solution
  • 7
    Following figure shows $P-T$ graph for four processes $A, B, C$ and $D$. Select the correct alternative.
    View Solution
  • 8
    A cyclic process for $1\,mole$ of an ideal gas is shown. Find work done in $AB, BC$ and $CA$ respectively
    View Solution
  • 9
    The maximum possible efficiency of a heat engine is ...........
    View Solution
  • 10
    One mole of an ideal gas goes from an initial state $A$ to final state $B$ via two processes : It first undergoes isothermal expansion from volume $V$ to $3\, V$ and then its volume is reduced from $3\, V$ to $V$ at constant pressure. The correct $P-V$ diagram representing the two processes is
    View Solution