In an adiabatic process, the state of a gas is changed from ${P_1},{V_1},{T_1} $ to ${P_2},{V_2},{T_2}$. Which of the following relation is correct
  • A${T_1}{V_1}^{\gamma - 1} = {T_2}{V_2}^{\gamma - 1}$
  • B${P_1}{V_1}^{\gamma - 1} = {P_2}{V_2}^{\gamma - 1}$
  • C${T_1}{P_1}^\gamma = {T_2}{P_2}^\gamma $
  • D${T_1}{V_1}^\gamma = {T_2}{V_2}^\gamma $
Easy
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
    An engine operates by taking a monatomic ideal gas through the cycle shown in the figure. The percentage efficiency of the engine is close to  $.......\%$
    View Solution
  • 2
    The efficiency of carnot engine is $50\%$ and temperature of sink is $500\,K$ . If temperature of source is kept constant and its efficiency raised to $60\%$ , then the required temperature of the sink will be  .... $K$
    View Solution
  • 3
    The work done in which of the following processes is equal to the internal energy of the system?
    View Solution
  • 4
    Two carnot engines $A$ and $B$ operate in series such that engine $A$ absorbs heat at $T_{1}$ and rejects heat to a sink at temperature $T$. Engine $B$ absorbs half of the heat rejected by engine $A$ and rejects heat to the sink at ${T}_{3}$. When workdone in both the cases is equal, the value of ${T}$ is 
    View Solution
  • 5
    The $P-V$ diagram of $2$ gm of helium gas for a certain process $A \to B$ is shown in the figure. what is the heat given to the gas during the process $A \to B$
    View Solution
  • 6
    A gas is suddenly compressed to one fourth of its original volume. What will be its final pressure, if its initial pressure is $P$
    View Solution
  • 7
    In a cyclic process, the internal energy of the gas
    View Solution
  • 8
    The volume $V$ of a given mass of monoatomic gas changes with temperature $T$ according to the relation $V = KT ^{2 / 3}$. The workdone when temperature changes by $90\, K$ will be $x\,R$. The value of $x$ is $[ R =$ universal gas constant $]$
    View Solution
  • 9
    An ideal gas heat engine operates in a Carnot cycle between $227^o C$ and $127^o C$. It absorbs $6\,kcal$ at the higher temperature. The amount of heat (in $kcal$) converted into work is equal to
    View Solution
  • 10
    The change in the entropy of a $1$ mole of an ideal gas which went through an isothermal process from an initial state $(P_1, V_1,T)$ to the final state $(P_2, V_2,T)$ is equal to
    View Solution