During an adiabatic expansion of $2\, moles$ of a gas, the change in internal energy was found $-50J.$ The work done during the process is ...... $J$
$0$
$100$
$-50$
$50$
In thermodynamic processes which of the following statements is not true?
Two identical samples of a gas are allowed to expand $(i)$ isothermally $(ii)$ adiabatically. Work done is
An ideal gas of density $\rho=0.2 kg m ^{-3}$ enters a chimney of height $h$ at the rate of $\alpha=0.8 kg s ^{-1}$ from its lower end, and escapes through the upper end as shown in the figure. The cross-sectional area of the lower end is $A_1=0.1 m ^2$ and the upper end is $A_2=0.4 m ^2$. The pressure and the temperature of the gas at the lower end are $600 Pa$ and $300 K$, respectively, while its temperature at the upper end is $150 K$. The chimney is heat insulated so that the gas undergoes adiabatic expansion. Take $g=10 ms ^{-2}$ and the ratio of specific heats of the gas $\gamma=2$. Ignore atmospheric pressure.
Which of the following statement($s$) is(are) correct?
A certain amount of gas is taken through a cyclic process $(A\,B\,C\,D\,A)$ that has two isobars, one isochore and one isothermal. The cycle can be represented on a $P-V$ indicator diagram as
The $PV$ diagram shows four different possible reversible processes performed on a monatomic ideal gas. Process $A$ is isobaric (constant pressure). Process $B$ is isothermal (constant temperature). Process $C$ is adiabatic. Process $D$ is isochoric (constant volume). For which process(es) does the temperature of the gas decrease ?