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Chemistry · THERMODYNAMICS

हिन्दी

During a single-step compression of a gas by a constant external pressure \( p_{\text{ex}} \), the volume changes from \( V_i \) to \( V_f \). The expression for work done on the system is:

  1. \( w = -p_{\text{ex}}(V_f - V_i) \)
  2. \( w = p_{\text{ex}}(V_f - V_i) \)
  3. \( w = -p_{\text{ex}}(\frac{V_f}{V_i}) \)
  4. \( w = -\frac{p_{\text{ex}}}{V_f - V_i} \)

Correct answer · Option 1

\( w = -p_{\text{ex}}(V_f - V_i) \)

Explanation

By definition, mechanical work done on/by the gas against external pressure is \( w = -p_{\text{ex}}\Delta V = -p_{\text{ex}}(V_f - V_i) \).
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