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For the gaseous reaction PCl ₅ (g) PCl ₃ (g) + Cl ₂ (g) , at what temperature will the numerical value of K_p be equal to the numerical value of K_c ? (Given R is the universal gas constant)

Options

  1. A1 R
  2. BR
  3. C273 K
  4. D0 K

Correct answer

A. 1 R

Step-by-step solution

For the given reaction, PCl ₅ (g) PCl ₃ (g) + Cl ₂ (g) The change in the number of moles of gaseous species is: n_g = moles of gaseous products - moles of gaseous reactants n_g = 2 - 1 = 1 The relationship between K_p and K_c is given by: K_p = K_c(RT)^ n_g K_p = K_c(RT)^1 For the numerical values of K_p and K_c to be equal, we must have: RT = 1 T = 1 R Answer: 1 R

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