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The heat absorbed by a system in going t...

The heat absorbed by a system in going through the cyclic process shown shown in Fig is `xxx 5piJ` . Find the valur of x.

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The correct Answer is:
B

The cycle is clockwise, thus net work is done by the gas. As in a cyclic process no change in internal energy takes place, heat supplied is equal to the work done by the gas in one complete cycle. So in this case heat supplied to the gas is given as
`Q=` work done by the gas `W`
= area of ellipse `=0pi ab`
Where a and are semi-major axes of the ellipes, respectively, which are given from the figure as
`a=1.0xx10^(5)` N/m and `b=100xx10^(6)m^(3)`
Thus area of ellipes is
`Q=W=pixx1.0xx10^(5)xx100xx10^(-6)`
`=3.14xx10=3.14J`
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