Work Done in Cyclic Process | Internal Energy of Gas | Physics Grade XI

Work Done in Cyclic Process | Internal Energy of Gas

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Work Done in Cyclic Process | Internal Energy of Gas | Physics Grade XI

Work Done in Cyclic Process

Work done in a cyclic process
When a system returns to its initial state after passing through different states, then it is called as cyclic process.

Work done in cyclic processAt first the gas is expanded From A to B along the path AXB, then
The work done by the system from A to X and B (W1) = area of curve AXBCD
 
Then the gas is compressed from A to B along the path AYB, then
The work done by the system from A to Y and B (W2) = area of curve AYBCD
 
Since the gas is compressed, we take the work as negative so
work done by the system from A to Y and B is, = - area of curve AYBCD
 
Then the total work done by the system is (W) = W1 + W2
    W = area of curve AXBCD + (- area of curve AYBCD)
    W = area of curve AXBCD - area of curve AYBCD
    W = area of AXBYA
 
Internal energy of a gas
Internal energy of a gas is the sum of kinetic and potential energy of the molecules of a body or a system. It is represented by U. The change in the internal energy of a gas is represented by ΔU.

According to the kinetic theory of gases, an ideal gas does not possess intermolecular energy, so the molecules of an ideal gas do not possess potential energy, which results internal energy be wholly kinetic and only a function of temperature.

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