Does the internal energy of an ideal gas change in an adiabatic process ?

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YES

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In the following $P-V$ diagram two adiabatics cut two isothermals at temperatures $T_1$ and $T_2$ (fig.). The value of $\frac{{{V_a}}}{{{V_d}}}$ will be

Areversible adiabatic path on a $P-V$ diagram for an ideal gas passes through stateAwhere $P=0$.$7\times 10^5 \,\,N/ m^{-2}$ and $v = 0.0049 \,\,m^3$. The ratio of specific heat of the gas is $1.4$. The slope of path at $A$ is :

$Assertion :$ Adiabatic expansion is always accompanied by fall in temperature.
$Reason :$ In adiabatic process, volume is inversely proportional to temperature.

  • [AIIMS 2011]

An ideal monoatomic gas expands to twice its volume. If the process is isothermal, the magnitude of work done by the gas is $W_i$. If the process is adiabatic, the magnitude of work done by the gas is $W_a$. Which of the following is true?

  • [KVPY 2012]

In Column$-I$ process and in Column$-II$ first law of thermodynamics are given. Match them appropriately :

Column$-I$ Column$-II$
$(a)$ Adiabatic $(i)$ $\Delta Q = \Delta U$
$(b)$ Isothermal $(ii)$ $\Delta Q = \Delta W$
    $(iii)$ $\Delta U = -\Delta W$