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One mole of an ideal gas is taken from A to B from B to C and then back to A. the variation of its volume with temperature for that change is as shown. Its pressure at A is p0, volume is V0. Then, the internal energy

One mole of an ideal gas is taken from A to B from B to C and then back to A. the variation of its volume with temperature for that change is as shown. Its pressure at A is p0, volume is V0. Then, the internal energy Correct Answer at A and B are equal 

CONCEPT:

  • Internal Energy: The internal energy of a system is identified with the random, disordered motion of molecules;
    • The total (internal) energy in a system includes potential and kinetic energy.

The internal energy of an ideal gas is calculated by

U = nfRT/2

where n is the number of moles, f is the degree of freedom of gas, R is gas constant, and T is the temperature.

CALCULATION:

According to the shown figure TA = TB < TC

The internal energy of an ideal gas 

U = nfRT/2

The internal energy of an ideal gas depends only on one variable Temperature.

Since TA = TB < TC

UA = UB < UC

So the correct answer is option 4.

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