Physics-
General
Easy
Question
A cyclic process performed on one mole of an ideal gas A total 1000 J of heat is withdrawn from the gas in a complete cycle Find the work done by the gas during the process ![B rightwards arrow C](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACoAAAANCAYAAADfavzVAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAATRJREFUeNpjYMAEP4D4DxA/BOK7QLwJiCUZ6AOUgLgLiC8A8TeoG5qBWBBdoQpUETIAKZxPB0eWAPEWILYFYiaomCwQF2CzPwCIl6KJBWERozYoB+LZpGioh2pCBguB2INEi2uhsUMMUIMmMRZSLFgFDVVQ0BsA8Vxo0JMKlgPxJyCOJEJtDzl23ALi/1D8hYyQhAFxID4DNQcUpRx41F4jIfTBgAnqOBBgA2IXID4OjRps4D8JeBUeO3+QGgrmQLwXTSwaWlxQEqIzoR7HBtigSYQkEAlNk8ggltTcSEYaBcUiFymGTwLiRDSxuURaRkmunwstQ4kG65AyjygQh0ILfzYal6HyQPwOiCuRaiBQ5vOBesIFXcM7pMT/Axp90nSqOlWg5fUnqP0fgHgNEHsxDDUAAOVASyLP0H6NAAAAZHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5CPC9taT48bW8+JiN4MjE5Mjs8L21vPjxtaT5DPC9taT48L21hdGg+iPntigAAAABJRU5ErkJggg==)
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/488641/1/958450/Picture12.png)
- -1531 J
- -1631 J
- -1731 J
- -1831 J
The correct answer is: -1831 J
Related Questions to study
physics-
A thermodynamic system is taken through the cycle PQRSP process The net work done by the system is
![](data:image/png;base64,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)
A thermodynamic system is taken through the cycle PQRSP process The net work done by the system is
![](data:image/png;base64,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)
physics-General
physics-
The heat energy absorbed by a system in going through a cyclic process shown in figure is
![](data:image/png;base64,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)
The heat energy absorbed by a system in going through a cyclic process shown in figure is
![](data:image/png;base64,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)
physics-General
physics-
A system changes from the state (p1,v(A) to (p2,v(B) as shown in the diagram The work done by the system is
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)
A system changes from the state (p1,v(A) to (p2,v(B) as shown in the diagram The work done by the system is
![](data:image/png;base64,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)
physics-General
physics-
In the given elliptical P - V diagram
![](data:image/png;base64,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)
In the given elliptical P - V diagram
![](data:image/png;base64,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)
physics-General
physics-
A Sample of ideal monoatomic gas is taken round the cycle ABCA as shown in the figure The work done during the cycle is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/488565/1/958445/Picture7.png)
A Sample of ideal monoatomic gas is taken round the cycle ABCA as shown in the figure The work done during the cycle is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/488565/1/958445/Picture7.png)
physics-General
physics-
On a T-P diagram, two moles of ideal gas perform process AB and CD If the work done by the gas in the process AB is two times the work done in the process CD then what is the value of T1/T2?
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/488547/1/958444/Picture6.png)
On a T-P diagram, two moles of ideal gas perform process AB and CD If the work done by the gas in the process AB is two times the work done in the process CD then what is the value of T1/T2?
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/488547/1/958444/Picture6.png)
physics-General
physics-
The figure shows P-V graph of an ideal one mole gas undergone to cyclic process ABCA, then the process
is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/488535/1/958443/Picture5.png)
The figure shows P-V graph of an ideal one mole gas undergone to cyclic process ABCA, then the process
is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/488535/1/958443/Picture5.png)
physics-General
physics-
An ideal monoatomic gas is taken round the cycle ABCDA as shown in the diagram The work done during the cycle is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/488518/1/958442/Picture4.png)
An ideal monoatomic gas is taken round the cycle ABCDA as shown in the diagram The work done during the cycle is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/488518/1/958442/Picture4.png)
physics-General
maths-
The value of c in Lagrange's Mean Value theorem for the function
in the interval [-1,1] is
The value of c in Lagrange's Mean Value theorem for the function
in the interval [-1,1] is
maths-General
physics-
The Coefficient of linear expansion of brass & steel are
If we take a brass rod of length
& steel rod of length
at ,0°c, their difference in length
will remain the same at a temperature if
The Coefficient of linear expansion of brass & steel are
If we take a brass rod of length
& steel rod of length
at ,0°c, their difference in length
will remain the same at a temperature if
physics-General
Maths-
Maths-General
maths-
If m and
are the mean and variance of the random variable X, whose distribution is given by: ![](data:image/png;base64,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)
If m and
are the mean and variance of the random variable X, whose distribution is given by: ![](data:image/png;base64,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)
maths-General
Maths-
A random variable X has the following Distribution
The value of ‘K’ and P(X<3) are respectively equal to
A random variable X has the following Distribution
The value of ‘K’ and P(X<3) are respectively equal to
Maths-General
Maths-
A random variable X has the following probability distribution
then the mean value of X is
A random variable X has the following probability distribution
then the mean value of X is
Maths-General
Maths-
If a random variable X has the following probability distribution
then the mean value of X is
If a random variable X has the following probability distribution
then the mean value of X is
Maths-General