Chemistry-
General
Easy
Question
The conversion A to B is carried out by the following path:
Given: DS(A→C) =50e.u.,DS(C→D) =30 e.u., DS(B→D) =20e.u. Where e.u.is entropy unit then DS(A→B) is
- +100e.u.
- +60e.u.
- –100e.u.
- –60e.u.
The correct answer is: +60e.u.
Related Questions to study
physics-
Three balls are dropped from the top of a building with equal speed at different angles. When the balls strike ground their velocities are
and
respectively, then
![](data:image/png;base64,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)
Three balls are dropped from the top of a building with equal speed at different angles. When the balls strike ground their velocities are
and
respectively, then
![](data:image/png;base64,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)
physics-General
Maths-
When does the current flow through the following circuit ?
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/429924/1/911658/Picture7.png)
When does the current flow through the following circuit ?
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/429924/1/911658/Picture7.png)
Maths-General
Maths-
The following circuit when expressed in symbolic form of logic is :
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/429913/1/911657/Picture6.png)
The following circuit when expressed in symbolic form of logic is :
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/429913/1/911657/Picture6.png)
Maths-General
chemistry-
Onemoleofanon-idealgasundergoesachange ofstate(2.0atm,3.0L,95K)→(4.0atm,5.0L,245 K)with achangein internalenergy,DU=30.0L atm.Thechangeinenthalpy(DH)oftheprocessinLatmis-
Onemoleofanon-idealgasundergoesachange ofstate(2.0atm,3.0L,95K)→(4.0atm,5.0L,245 K)with achangein internalenergy,DU=30.0L atm.Thechangeinenthalpy(DH)oftheprocessinLatmis-
chemistry-General
chemistry-
Inconversion oflime-stonetolime,CaCO3(s)→CaO(s)+CO2(g)thevalues ofDHºandDSºare+179.1kJmol–1and160.2J/Krespectivelyat298Kand1bar.AssumingthatDHºandDSºdonotchange withtemperature,temperatureabovewhich conversionoflimestonetolimewillbespontaneous is-
Inconversion oflime-stonetolime,CaCO3(s)→CaO(s)+CO2(g)thevalues ofDHºandDSºare+179.1kJmol–1and160.2J/Krespectivelyat298Kand1bar.AssumingthatDHºandDSºdonotchange withtemperature,temperatureabovewhich conversionoflimestonetolimewillbespontaneous is-
chemistry-General
chemistry-
Consider the reaction:N2+ 3H2→2NH3carried out at constant temperature and pressure. If DH and DU are the enthalpy and internal energy changes for the reaction, which of the following expressions is true ?
Consider the reaction:N2+ 3H2→2NH3carried out at constant temperature and pressure. If DH and DU are the enthalpy and internal energy changes for the reaction, which of the following expressions is true ?
chemistry-General
Physics-
Consider a disc rotating in the horizontal plane with a constant angular speed
about its centre
. The disc has a shaded region on one side of the diameter and an unshanded region on the other side as shown in the figure. When the disc is in the orientation as shown, two pebbles
and
are simultaneously projected at an angle towards
. The velocity of projection is in the
plane and is same for both pebbles with respect to the disc. Assume that i) they land back on the disc before the disc has completed
rotation. ii) their range is less than half the disc radius, and (iii)
remains constant throughout. Then
![](data:image/png;base64,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)
Consider a disc rotating in the horizontal plane with a constant angular speed
about its centre
. The disc has a shaded region on one side of the diameter and an unshanded region on the other side as shown in the figure. When the disc is in the orientation as shown, two pebbles
and
are simultaneously projected at an angle towards
. The velocity of projection is in the
plane and is same for both pebbles with respect to the disc. Assume that i) they land back on the disc before the disc has completed
rotation. ii) their range is less than half the disc radius, and (iii)
remains constant throughout. Then
![](data:image/png;base64,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)
Physics-General
physics-
From an inclined plane two particles are projected with same speed at same angle
, one up and other down the plane as shown in figure. Which of the following statements
is/are correct?
![](data:image/png;base64,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)
From an inclined plane two particles are projected with same speed at same angle
, one up and other down the plane as shown in figure. Which of the following statements
is/are correct?
![](data:image/png;base64,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)
physics-General
maths-
If
then
is
If
then
is
maths-General
chemistry-
The free energy change for the following reactions aregivenbelow-C2H2(g)+
O2(g)→2CO2(g)+H2O(l);DG°=–1234KJC(s)+O2(g)→CO2(g);DG°=–394KJ H2(g)+
O2(g)→H2O(l);DG°=–237KJWhatisthestandardfreeenergychangeforthe reactionH2(g)+2C(s)→C2H2(g)-
The free energy change for the following reactions aregivenbelow-C2H2(g)+
O2(g)→2CO2(g)+H2O(l);DG°=–1234KJC(s)+O2(g)→CO2(g);DG°=–394KJ H2(g)+
O2(g)→H2O(l);DG°=–237KJWhatisthestandardfreeenergychangeforthe reactionH2(g)+2C(s)→C2H2(g)-
chemistry-General
chemistry-
The value of DH–DE for the following reaction at 27°C will be,2NH3(g)→N2(g)+3H2(g)
The value of DH–DE for the following reaction at 27°C will be,2NH3(g)→N2(g)+3H2(g)
chemistry-General
chemistry-
If at 298K the bond energies of C–H,C–C,C=C and H–H bonds are respectively 414,347,615and 435KJmol–1,thevalueofenthalpy change for there action H2C=CH2(g)+H2(g)→CH3–CH3(g)at298 K will be-
If at 298K the bond energies of C–H,C–C,C=C and H–H bonds are respectively 414,347,615and 435KJmol–1,thevalueofenthalpy change for there action H2C=CH2(g)+H2(g)→CH3–CH3(g)at298 K will be-
chemistry-General
maths-
If
then n=
If
then n=
maths-General
maths-
There were two women participating in a chess tournament Every participant played two games with the other participants the number of games that the men played between themselves proved to exceed by 66 the number of games that the men played with the women The number of participants is
There were two women participating in a chess tournament Every participant played two games with the other participants the number of games that the men played between themselves proved to exceed by 66 the number of games that the men played with the women The number of participants is
maths-General
maths-
153 games were played at a chess tournament with each contestant playing once against each of the others The number of participants is
153 games were played at a chess tournament with each contestant playing once against each of the others The number of participants is
maths-General