An ideal gas at a pressures of $1$ atmosphere and temperature of ${27^o}C$ is compressed adiabatically until its pressure becomes $8$ times the initial pressure, then the final temperature is ..... $^oC$ ($\gamma  = 3/2$)
  • A$627$
  • B$527$
  • C$427$
  • D$327$
Medium
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
    When an ideal triatomic non-linear gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas is
    View Solution
  • 2
    A reversible cyclic process for an ideal gas is shown below. Here, $P, V$, and $T$ are pressure, volume and temperature, respectively. The thermodynamic parameters $q, w, H$ and $U$ are heat, work, enthalpy and internal energy, respectively.

    (image)

    The correct option ($s$) is (are)

    $(A)$ $q_{A C}=\Delta U_{B C}$ and $W_{A B}=P_2\left(V_2-V_1\right)$

    $(B)$ $\mathrm{W}_{\mathrm{BC}}=\mathrm{P}_2\left(\mathrm{~V}_2-\mathrm{V}_1\right)$ and $\mathrm{q}_{\mathrm{BC}}=\mathrm{H}_{\mathrm{AC}}$

    $(C)$ $\Delta \mathrm{H}_{\mathrm{CA}}<\Delta \mathrm{U}_{\mathrm{CA}}$ and $\mathrm{q}_{\mathrm{AC}}=\Delta \mathrm{U}_{\mathrm{BC}}$

    $(D)$ $\mathrm{q}_{\mathrm{BC}}=\Delta \mathrm{H}_{\mathrm{AC}}$ and $\Delta \mathrm{H}_{\mathrm{CA}}>\Delta \mathrm{U}_{\mathrm{CA}}$

    View Solution
  • 3
    Following figure shows two processes $A$ and $B$ for a gas. If $\Delta Q_A$ and $\Delta Q_B$ are the amount of heat absorbed by the system in two cases, and $\Delta U_A$ and $\Delta U_B$ are changes in internal energies, respectively, then
    View Solution
  • 4
    A soft plastic bottle, filled with water of density $1 gm / cc$, carries an inverted glass test-tube with some air (ideal gas) trapped as shown in the figure. The test-tube has a mass of $5 gm$, and it is made of a thick glass of density $2.5 gm / cc$. Initially the bottle is sealed at atmospheric pressure $p_0=10^5 Pa$ so that the volume of the trapped air is $v_0=3.3 cc$. When the bottle is squeezed from outside at constant temperature, the pressure inside rises and the volume of the trapped air reduces. It is found that the test tube begins to sink at pressure $P_0+\Delta p$ without changing its orientation. At this pressure, the volume of the trapped air is $v_0-\Delta v$.

    Let $\Delta v=X$ cc and $\Delta p=Y \times 10^3 Pa$.

    ($1$) The value of $X$ is

    ($2$) The value of $Y$ is

    Give the answer or quetion ($1$) and ($2$)

    View Solution
  • 5
    An ideal gas is subjected to a thermodynamic process $PV^{2.5} = 0.40$ where $P$ is in $Pa$ and $V$ is in $m^3$.What is the slope of the $P-V$ curve with volume plotted against $x-$ axis at $V=1\, m^3$ ?
    View Solution
  • 6
    $Assertion :$ The heat supplied to a system is always equal to the increase in its internal energy.
    $Reason :$ When a system changes from one thermal equilibrium to another, some heat is absorbed by it.
    View Solution
  • 7
    The pressure of a gas changes linearly with volume from $A$ to $B$ as shown in figure. If no heat is supplied to or extracted from the gas then change in the internal energy of the gas will be $............\,J$
    View Solution
  • 8
    A student records $\Delta Q, \Delta U \& \Delta W$ for a thermodynamic cycle $A$ $\rightarrow$ $B \rightarrow C \rightarrow A$. Certain entries are missing. Find correct entry in following options.
    View Solution
  • 9
    In an adiabatic process, the density of a diatomic gas becomes $32$ times its initial value. The final pressure of the gas is found to be $n$ times the initial pressure. The value of $n$ is
    View Solution
  • 10
    The internal energy of the gas increases In
    View Solution