One mole of an ideal gas (gamma = 1.4) is adiabatically compressed so that its temperature ris

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11.Thermodynamics

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One mole of an ideal gas $(\gamma = 1.4)$ is adiabatically compressed so that its temperature rises from $27\,^oC$ to $35\,^oC$. The change in the internal energy of the gas is .... $J$ (given $R = 8.3 \,J/mole/K$)

$-166$

$166$

$-168$

$168$

Solution

$\Delta \mathrm{U}=-\mathrm{W}=\frac{\mathrm{nR}\left(\mathrm{T}_{1}-\mathrm{T}_{2}\right)}{1-\mathrm{r}}=\frac{1 \times 8.3(-8)}{1-1.4}=166 \mathrm{J}$

Standard 11

Physics

A rigid diatomic ideal gas undergoes an adiabatic process at room temperature. The rational between temperature and volume for the process is $TV^x =$ constant, then $x$ is

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(JEE MAIN-2019)

A gas is compressed adiabatically till its temperature is doubled. The ratio of its final volume to initial volume will be

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A gas at initial temperature $T$ undergoes sudden expansion from volume $V$ to $2 \,V$. Then,

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(KVPY-2016)

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

easy

Consider that an ideal gas ($n$ moles) is expanding in a process given by $P = f (V)$, which passes through a point $(V_0, \,p_0)$. Show that the gas is absorbing heat at $(p_0,\, V_0)$ if the slope of the curve $P = f (V)$ is larger than the slope of the adiabatic passing through $(p_0,\, V_0)$.

hard

Column$-I $	Column$-II $
$(a)$ figure $(a)$	$(i)$ Adiabatic process
$(b)$ figure $(b)$	$(ii)$ Isobaric process
	$(ii)$ Isochoric process

One mole of an ideal gas $(\gamma = 1.4)$ is adiabatically compressed so that its temperature rises from $27\,^oC$ to $35\,^oC$. The change in the internal energy of the gas is .... $J$ (given $R = 8.3 \,J/mole/K$)

Solution

Similar Questions

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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