The volume of an ideal gas $(\gamma=1.5)$ is changed adiabatically from $5$ litres to $4$ litres. The ratio of initial pressure to final pressure is:
The volume of an ideal gas $(\gamma=1.5)$ is changed adiabatically from $5$ litres to $4$ litres. The ratio of initial pressure to final pressure is:
- [JEE MAIN 2024]
- A
$\frac{4}{5}$
- B
$\frac{16}{25}$
- C
$\frac{8}{5 \sqrt{5}}$
- D
$\frac{2}{\sqrt{5}}$
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If $\Delta U$ and $\Delta W$ represent the increase in internal energy and work done by the system respectively in a thermodynamical process, which of the following is true?
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- [AIPMT 1998]
Two identical balls, $A$ and $B$ , of uniform composition and initially at the same temperature, each absorb exactly the same amount of heat. $A$ is hanging down from the ceiling while $B$ rests on the horizontal floor in the same room. Assuming no subsequent heat loss by the balls, which of the following statements is correct about their final temperatures, $T_A$ and $T_B$ , once the balls have reached their final state?
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Draw $P- V$ curves for isothermal and adiabatic processes of an ideal gas.
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In Column$-I$ process and in Column$-II$ first law of thermodynamics are given. Match them appropriately :
Column$-I$
Column$-II$
$(a)$ Adiabatic
$(i)$ $\Delta Q = \Delta U$
$(b)$ Isothermal
$(ii)$ $\Delta Q = \Delta W$
$(iii)$ $\Delta U = -\Delta W$
In Column$-I$ process and in Column$-II$ first law of thermodynamics are given. Match them appropriately :
| Column$-I$ | Column$-II$ |
| $(a)$ Adiabatic | $(i)$ $\Delta Q = \Delta U$ |
| $(b)$ Isothermal | $(ii)$ $\Delta Q = \Delta W$ |
| $(iii)$ $\Delta U = -\Delta W$ |