37.8 mathrm~g mathrm~N_2 mathrmO_5 was taken in a 1 mathrm~L reaction vessel and allowed to undergo the following reaction at 500 mathrm~K: 2 mathrm N _ 2 mathrm O _ 5 (mathrm g) ightarrow 2 mathrm N _ 2 mathrm O _ 4 (mathrm g) + mathrm O _ 2 (mathrm g) The total pressure at equilibrium was found to be 18.65 bar. Then, mathrmKp = \_ \_ \_ \_ times 10^-2 [nearest integer] Assume mathrmN_2mathrmO_5 to behave ideally under these conditions Given: mathrmR = 0.082 bar mathrmL \, mathrmmol^-1 \, mathrmK^-1

Numerical Answer Type:
Enter a numerical value Answer: 962 to 962 +4 marks

Solution & Explanation

### Related Formula P = fracnRTV quad textand quad K_p = frac(P_N_2O_4)^2 cdot P_O_2(P_N_2O_5)^2 ### Core Logic First, find the initial moles of N_2O_5 using its molar mass (108text g/mol): n_0 = frac37.8108 = 0.35text moles Using the ideal gas equation, compute the initial pressure (P_i): P_i = frac0.35 times 0.082 times 5001 = 14.35text bar Setting up the equilibrium partial pressures table: beginarraylcccc & 2N_2O_5(g) & rightleftharpoons & 2N_2O_4(g) & + & O_2(g) \\ textInitially: & 14.35 & & 0 & & 0 \\ textAt equilibrium: & 14.35 - 2P & & 2P & & P endarray The total pressure at equilibrium is given as: P_texttotal = (14.35 - 2P) + 2P + P = 14.35 + P = 18.65text bar P = 18.65 - 14.35 = 4.3text bar Now, calculate the equilibrium partial pressures for each component: - P_N_2O_5 = 14.35 - 2(4.3) = 5.75text bar - P_N_2O_4 = 2(4.3) = 8.6text bar - P_O_2 = 4.3text bar Substitute these partial pressures into the K_p expression: K_p = frac(8.6)^2 times 4.3(5.75)^2 = frac73.96 times 4.333.0625 approx 9.619 Expressing the result in the requested format (x times 10^-2): K_p = 961.9 times 10^-2 Rounding to the nearest integer yields **962**. ### Pattern Recognition Always calculate the initial pressure first using the ideal gas law (PV=nRT). This provides a clear baseline for tracking equilibrium partial pressures. ### Evaluation Rubric / Model Answer null ### Chapter Mix Class 11 Chemistry: Equilibrium

Reference Study Guides

More Equilibrium Previous-Year Questions — Page 6

Q62 jee_main_2024_31_jan_morning Equilibrium Constant
For the given reaction, choose the correct expression of K_C from the following :- Fe_(aq)^3+ + SCN_(aq)^- rightleftharpoons (FeSCN)_(aq)^2+
  • A. K_C = frac[FeSCN^2+][Fe^3+][SCN^-]
  • B. K_C = frac[Fe^3+][SCN^-][FeSCN^2+]
  • C. K_C = frac[FeSCN^2+][Fe^3+]^2[SCN^-]^2
  • D. K_C = frac[FeSCN^2+]^2[Fe^3+][SCN^-]

Solution

### Related Formula K_C = frac[textProducts][textReactants] ### Core Logic K_C = fractextProducts ion conc.textReactants ion conc. K_C = frac[FeSCN^2+][Fe^3+][SCN^-] ### Evaluation Rubric / Model Answer null ### Chapter Mix Class 11 Chemistry: Equilibrium

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