A thermodynamic process is shown in figure. pressures and volumes corresponding to some points in fi

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11.Thermodynamics

hard

A thermodynamic process is shown in the figure. The pressures and volumes corresponding to some points in the figure are :

${P_A} = 3 \times {10^4}Pa,\;{P_B} = 8 \times {10^4}Pa$ and ${V_A} = 2 \times {10^{ - 3}}{m^3},\;{V_D} = 5 \times {10^{ - 3}}{m^3}$

In process $AB$, $600 J$ of heat is added to the system and in process $BC, 200 J $ of heat is added to the system. The change in internal energy of the system in process $ AC$ would be ...... $J$

$560$

$800 $

$600 $

$640 $

(AIPMT-1992)

Solution

(a) By adjoining graph ${W_{AB}} = 0$ and
${W_{BC}} = 8 \times {10^4}[5 – 2] \times {10^{ – 3}} = 240\,J$
${W_{AC}} = {W_{AB}} + {W_{BC}} = 0 + 240 = 240\,J$
Now, $\Delta {Q_{AC}} = \Delta {Q_{AB}} + \Delta {Q_{BC}} = 600 + 200 = 800\,J$
From FLOT $\Delta {Q_{AC}} = \Delta {U_{AC}} + \Delta {W_{AC}}$
==> $800 = \Delta {U_{AC}} + 240$ ==> $\Delta {U_{AC}} = 560\,J.$

Standard 11

Physics

An ideal gas is taken through the cycle $A \to B \to C \to A$ , as shown in the figure. If the net heat supplied to the gas in the cycle is $5\ J$, the work done by the gas in the process $C \to A$ is …. $J$

medium

$List I$ describes thermodynamic processes in four different systems. $List II$ gives the magnitudes (either exactly or as a close approximation) of possible changes in the internal energy of the system due to the process.

$List-I$ $List-II$

($I$) $10^{-3} kg$ of water at $100^{\circ} C$ is converted to steam at the same temperature, at a pressure of $10^5 Pa$. The volume of the system changes from $10^{-6} m ^3$ to $10^{-3} m ^3$ in the process. Latent heat of water $=2250 kJ / kg$. ($P$) $2 kJ$

($II$) $0.2$ moles of a rigid diatomic ideal gas with volume $V$ at temperature $500 K$ undergoes an isobaric expansion to volume $3 V$. Assume $R=8.0 Jmol ^1 K^{-1}$. ($Q$) $7 kJ$

($III$) On mole of a monatomic ideal gas is compressed adiabatically from volume $V=\frac{1}{3} m^3$ and pressure $2 kPa$ to volume $\frac{v}{8}$ ($R$) $4 kJ$

($IV$) Three moles of a diatomic ideal gas whose molecules can vibrate, is given $9 kJ$ of heat and undergoes isobaric expansion. ($S$) $5 kJ$

($T$) $3 kJ$

Which one of the following options is correct?

normal

(IIT-2022)

An ideal gas is taken from state $1$ to state $2$ through optional path $A, B, C \& D$ as shown in $P-V$ diagram. Let $Q, W$ and $U$ represent the heat supplied, work done $\&$ internal energy of the gas respectively. Then

normal

Is it possible to convert internal energy into work or mechanical energy ?

medium

In following figures $(a)$ to $(d)$, variation of volume by change of pressure is shown in figure. The gas is taken along the path $A B C D A$. Change in internal energy of the gas will be …….

easy

$List-I$	$List-II$
($I$) $10^{-3} kg$ of water at $100^{\circ} C$ is converted to steam at the same temperature, at a pressure of $10^5 Pa$. The volume of the system changes from $10^{-6} m ^3$ to $10^{-3} m ^3$ in the process. Latent heat of water $=2250 kJ / kg$.	($P$) $2 kJ$
($II$) $0.2$ moles of a rigid diatomic ideal gas with volume $V$ at temperature $500 K$ undergoes an isobaric expansion to volume $3 V$. Assume $R=8.0 Jmol ^1 K^{-1}$.	($Q$) $7 kJ$
($III$) On mole of a monatomic ideal gas is compressed adiabatically from volume $V=\frac{1}{3} m^3$ and pressure $2 kPa$ to volume $\frac{v}{8}$	($R$) $4 kJ$
($IV$) Three moles of a diatomic ideal gas whose molecules can vibrate, is given $9 kJ$ of heat and undergoes isobaric expansion.	($S$) $5 kJ$
	($T$) $3 kJ$

Solution

Similar Questions

An ideal gas is taken through the cycle $A \to B \to C \to A$ , as shown in the figure. If the net heat supplied to the gas in the cycle is $5\ J$, the work done by the gas in the process $C \to A$ is …. $J$

An ideal gas is taken from state $1$ to state $2$ through optional path $A, B, C \& D$ as shown in $P-V$ diagram. Let $Q, W$ and $U$ represent the heat supplied, work done $\&$ internal energy of the gas respectively. Then

Is it possible to convert internal energy into work or mechanical energy ?

In following figures $(a)$ to $(d)$, variation of volume by change of pressure is shown in figure. The gas is taken along the path $A B C D A$. Change in internal energy of the gas will be …….

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