One mole of helium is adiabatically expanded from its initial state $({P_i},{V_i},{T_i})$ to its final state $({P_f},{V_f},{T_f})$. The decrease in the internal energy associated with this expansion is equal to

  • A

    ${C_V}({T_i} - {T_f})$

  • B

    ${C_P}({T_i} - {T_f})$

  • C

    $\frac{1}{2}({C_P} + {C_V})(Ti - {T_f})$

  • D

    $({C_P} - {C_V})({T_i} - {T_f})$

Similar Questions

Two identical balls, $A$ and $B$ , of uniform composition and initially at the same temperature, each absorb exactly the same amount of heat. $A$ is hanging down from the ceiling while $B$ rests on the horizontal floor in the same room. Assuming no subsequent heat loss by the balls, which of the following statements is correct about their final temperatures, $T_A$ and $T_B$ , once the balls have reached their final state?

In adiabatic expansion of a gas

If $\Delta U$ and $\Delta W$ represent the increase in internal energy and work done by the system respectively in a thermodynamical process, which of the following is true?

  • [AIPMT 1998]

A gas at initial temperature $T$ undergoes sudden expansion from volume $V$ to $2 \,V$. Then,

  • [KVPY 2016]

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