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Pressure ( P ) versus density (d) graph of an ideal gas is shown in the figure. Choose the correct statement.

Options

  1. ADuring the process AB , workdone by the gas is positive
  2. BDuring the process AB , workdone by the gas is negative
  3. CDuring the process B C , internal energy of the gas increases
  4. DDuring the process DA, internal energy of the gas remains constant

Correct answer

D. During the process DA, internal energy of the gas remains constant

Step-by-step solution

- Graph is P vs density (d). - From ideal gas law: (P= R T M ). At constant temperature (T), (P ) straight line through origin. - Line DA is parallel to (P d ), hence isothermal process. - In an isothermal process, temperature remains constant, so internal energy ((U)= ) constant. Thus, the correct statement is (4).

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