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If E is the translational kinetic energy, then which of the following relation holds good

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AIIMS BSc NURSING 2023 Memory-Based Paper
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  1. PV = E
  2. \(P V=\frac{3}{2} E \)
  3. PV = 3E
  4. \(P V=\frac{2}{3} E\)

Answer (Detailed Solution Below)

Option 4 : \(P V=\frac{2}{3} E\)
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Calculation:

If E is the translational kinetic energy, then the correct relation can be derived using the ideal gas law and the kinetic theory of gases.

From the kinetic theory of gases, the translational kinetic energy (E) is related to the pressure (P), volume (V), and temperature (T) by the equation:

For an ideal gas, the internal energy E is given by:

E = (3/2)RT = (3/2) PV

Thus, the correct relation that holds good is:

PV = (2/3) E

Correct Answer: Option 4 - PV = (2/3) E

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