A sample of an ideal gas is contained in a cylinder. The volume of the gas is suddenly decreased. A student makes the following statements to explain the change in pressure of the gas
$I.$ The average kinetic energy of the gas atoms increases
$II.$ The atoms of the gas hit the walls of the cylinder more frequently
$III.$ Temperature of the gas remains unchanged
Which of these statements is true?
A sample of an ideal gas is contained in a cylinder. The volume of the gas is suddenly decreased. A student makes the following statements to explain the change in pressure of the gas
$I.$ The average kinetic energy of the gas atoms increases
$II.$ The atoms of the gas hit the walls of the cylinder more frequently
$III.$ Temperature of the gas remains unchanged
Which of these statements is true?
- A
$I$ and $II$ only
- B
$I$ and $III$ only
- C
$II$ and $III$ only
- D
$I, II$ and $III$
Similar Questions
An ideal gas at pressure $P$ and volume $V$ is expanded to volume$ 2V.$ Column $I$ represents the thermodynamic processes used during expansion. Column $II$ represents the work during these processes in the random order.:
Column $I$
Column $II$
$(p)$ isobaric
$(x)$ $\frac{{PV(1 - {2^{1 - \gamma }})}}{{\gamma - 1}}$
$(q)$ isothermal
$(y)$ $PV$
$(r)$ adiabatic
(z) $PV\,\iota n\,2$
The correct matching of column $I$ and column $II$ is given by
An ideal gas at pressure $P$ and volume $V$ is expanded to volume$ 2V.$ Column $I$ represents the thermodynamic processes used during expansion. Column $II$ represents the work during these processes in the random order.:
| Column $I$ | Column $II$ |
| $(p)$ isobaric | $(x)$ $\frac{{PV(1 - {2^{1 - \gamma }})}}{{\gamma - 1}}$ |
| $(q)$ isothermal | $(y)$ $PV$ |
| $(r)$ adiabatic | (z) $PV\,\iota n\,2$ |
The correct matching of column $I$ and column $II$ is given by
Following figure shows on adiabatic cylindrical container of volume ${V_0}$ divided by an adiabatic smooth piston (area of cross-section = $A$ ) in two equal parts. An ideal gas $({C_P}/{C_V} = \gamma )$ is at pressure $P_1$ and temperature $T_1$ in left part and gas at pressure $P_2$ and temperature $T_2$ in right part. The piston is slowly displaced and released at a position where it can stay in equilibrium. The final pressure of the two parts will be (Suppose $ x$ = displacement of the piston)
Following figure shows on adiabatic cylindrical container of volume ${V_0}$ divided by an adiabatic smooth piston (area of cross-section = $A$ ) in two equal parts. An ideal gas $({C_P}/{C_V} = \gamma )$ is at pressure $P_1$ and temperature $T_1$ in left part and gas at pressure $P_2$ and temperature $T_2$ in right part. The piston is slowly displaced and released at a position where it can stay in equilibrium. The final pressure of the two parts will be (Suppose $ x$ = displacement of the piston)
In Column$-I $ a graph and in Column$-II$ processes are given. Match them appropriately :
Column$-I $
Column$-II $
$(a)$ figure $(a)$
$(i)$ Adiabatic process
$(b)$ figure $(b)$
$(ii)$ Isobaric process
$(ii)$ Isochoric process
In Column$-I $ a graph and in Column$-II$ processes are given. Match them appropriately :
| Column$-I $ | Column$-II $ |
| $(a)$ figure $(a)$ | $(i)$ Adiabatic process |
| $(b)$ figure $(b)$ | $(ii)$ Isobaric process |
| $(ii)$ Isochoric process |
$Assertion :$ When a bottle of cold carbonated drink is opened, a slight fog forms around the opening.
$Reason :$ Adiabatic expansion of the gas causes lowering of temperature and condensation of water vapours.
$Assertion :$ When a bottle of cold carbonated drink is opened, a slight fog forms around the opening.
$Reason :$ Adiabatic expansion of the gas causes lowering of temperature and condensation of water vapours.
- [AIIMS 2003]
A gas at $NTP$ is suddenly compressed to one-fourth of its original volume. If $\gamma $ is supposed to be $\frac{3}{2}$, then the final pressure is........ atmosphere
A gas at $NTP$ is suddenly compressed to one-fourth of its original volume. If $\gamma $ is supposed to be $\frac{3}{2}$, then the final pressure is........ atmosphere