A monoatomic gas is taken through a process $TP^{-1/3} =$ constant. If heat is given to the gas
Diffcult
Download our app for free and get startedPlay store
$\mathrm{TP}^{-1 / 3}=$ constant

$\mathrm{PVP}^{-1 / 3}=$ constant

$\mathrm{PV}^{3 / 2}=$ constant

$\Rightarrow x=\frac{3}{2}, \gamma=\frac{5}{3}$

$\mathrm{C}=\frac{\mathrm{R}}{\gamma-1}+\frac{\mathrm{R}}{1-\mathrm{x}}=\frac{3 \mathrm{R}}{2}+\frac{\mathrm{R}}{1-\frac{3}{2}}=-\frac{\mathrm{R}}{2}$

$\mathrm{C}$ is negative $\Delta Q=n C \Delta T$

$\Rightarrow$ if $\Delta Q$ is $+v e, \Delta T$ is$ -$ve

$\Rightarrow$ temperature will decrease

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 engine absorbs an amount $Q$ of heat from a reservoir at an absolute temperature $T$ and rejects heat to a sink at a temperature of $T/3$ . The amount of heat rejected is
    View Solution
  • 2
    A Carnot's engine working between $400\, K$ and $800\, K$ has a work output of $1200\, J$ per cycle. The amount of heat energy supplied to the engine from the source in each cycle is ........... $J$
    View Solution
  • 3
    A Carnot engine operating between two reservoirs has efficiency $\frac{1}{3}$. When the temperature of cold reservoir raised by $x$, its efficiency decreases to $\frac{1}{6}$. The value of $x$, if the temperature of hot reservoir is $99^{\circ}\,C$, will be $........\,K$
    View Solution
  • 4
    When a gas expands adiabatically
    View Solution
  • 5
    A given mass of a gas expands from a state $A$ to the state $B$ by three paths $1, 2$ and $3$ as shown in $T-V$ indicator diagram. If $W_1, W_2$ and $W_3$ respectively be the work done by the gas along the three paths, then
    View Solution
  • 6
    For free expansion of the gas which of the following is true
    View Solution
  • 7
    A mixture of gases at $STP$ for which $\gamma=1.5$ is suddenly compressed to $\frac{1}{9}$ th of its original volume. The final temperature of mixture is .......... $^{\circ} C$
    View Solution
  • 8
    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
  • 9
    During the adiabatic expansion of $2 \,moles$ of a gas, the internal energy was found to have decreased by $100 J$. The work done by the gas in this process is ..... $J$
    View Solution
  • 10
    Initial pressure and volume of a gas are $P$ and $V$ respectively. First it is expanded isothermally to volume $4V$ and then compressed adiabatically to volume $V$ . The final pressure of gas will be (given $\gamma = 3/2$ ) 
    View Solution