An ideal gas undergoes a four step cycle as shown in the $P-V$ diagram below. During this cycle, in which step heat is absorbed by the gas
IIT 2021, Medium
Download our app for free and get startedPlay store
Process $1$

$P =$ constant, Volume increases and temperature also increases

$\Rightarrow \quad W =$ positive,$\Delta U =$ positive

$\Rightarrow \quad$ Heat is positive and supplied to gas

Process - $2$

$V =$ constant, Pressure decrease

$\Rightarrow$ Temperature decreases

$W =\int pdV =0$

$\Delta T$ is negative and $\Delta U =\frac{ f }{2} nR \Delta T$

$\Rightarrow \quad \Delta U$ in negative

$\Delta Q =\Delta U + W$

$\therefore \quad \Delta Q \rightarrow$ Heat is negative and rejected by gas

Process $3$

$P =$ constant, Volume decreases

$\Rightarrow$ Temperature also decreases

$W = P \Delta V =$ negative

$\Delta U =\frac{ f }{2} nR \Delta T =$ negative

$\Delta Q = W +\Delta U =$ negative

Heat is negative and rejected by gas.

Process $4$

$V =$ constant, Pressure increases

$W =\int pdV =0$

$PV = nRT \Rightarrow$ Temperature increase

$\Rightarrow \quad \Delta U =\frac{ f }{2} nR \Delta T$ is positive

$\Delta Q =\Delta U + W$

$=$ positive

Ans. $(C)$ step $1$ and step $4$

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
    Cofficient of performance of refigerator is
    View Solution
  • 2
    $1\, mole$ of an ideal monoatomic gas at temperature $'T_0'$ expands slowly according to the law $P = KV$, where $K$ is a constant. If the final temperature of the gas is $2T_0$. Find the heat supplied to the gas
    View Solution
  • 3
    Two moles of helium gas are taken over the cycle $ABCDA$, as shown in the $P-T$ diagram.The work done on the gas in taking it from $D$ to $A$ is
    View Solution
  • 4
    The efficiency of the cycle shown below in the figure (consisting of one isobar, one adiabat and one isotherm) is $50 \%$. The ratio $x$, between the highest and lowest temperatures attained in this cycle obeys (the working substance is an ideal gas)
    View Solution
  • 5
    An ideal gas is taken around $ABCA$ as shown in the above $P-V$ diagram. The work done during a cycle is
    View Solution
  • 6
    Entropy of a thermodynamic system does not change when this system is used for
    View Solution
  • 7
    An ideal gas with constant heat capacity $C_V=\frac{3}{2} n R$ is made to carry out a cycle that is depicted by a triangle in the figure given below. The following statement is true about the cycle.
    View Solution
  • 8
    Following figure shows $P-T$ graph for four processes $A, B, C$ and $D$. Select the correct alternative
    View Solution
  • 9
    For $P-V$ diagram of a thermodynamic cycle as shown in figure, process $B C$ and $D A$ are isothermal. Which of the corresponding graphs is correct?
    View Solution
  • 10
    Heat given to a system is $35$ joules and work done by the system is $15$ joules. The change in the internal energy of the system will be ..... $J$
    View Solution