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A sealed container was filled with 1 mol of A_2(g), 1 mol B_2(g) at 800 K and total pressure 1.00 bar. Calculate the amounts of the components in the mixture at equilibrium given that K = 1 for the reaction : A_2(g)+ B_2(g)hArr 2AB(g)

Answer» <html><body><p></p>Solution :`A_2(g) + B_2(g) hArr 2AB(g)`<br/> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/FM_CHE_XI_V02_C08_E01_048_S01.png" width="80%"/><br/> Total no. of moles `= <a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>-x+ 1 - x + 2x=2` <br/> `K_P = ((P_(<a href="https://interviewquestions.tuteehub.com/tag/ab-360636" style="font-weight:bold;" target="_blank" title="Click to know more about AB">AB</a>))^2)/((P_(A_2))(P_(B_2))) =(((2x)/2xxP)^2)/((((1-x))/2xxP)(((1-x))/2xxP))` <br/> `K_P = (4x^2)/((1-x)^2)`<br/> Given that `K_P = (4x^2)/((1-x)^2) = 1` <br/> `<a href="https://interviewquestions.tuteehub.com/tag/rarr-1175461" style="font-weight:bold;" target="_blank" title="Click to know more about RARR">RARR</a> 4x^2 = (1-x)^2 rArr 4x^2 =1 +x^2 -2x`<br/> `3x^2 + 2x -1 = 0`<br/> `x = (-2 pmsqrt(<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a> - 4 xx 3 xx (-1)))/(2(3))` <br/> `x = (-2 pmsqrt(4 + <a href="https://interviewquestions.tuteehub.com/tag/12-269062" style="font-weight:bold;" target="_blank" title="Click to know more about 12">12</a>))/6 = (-2pm sqrt16)/6 = (-2+4)/6,(-2-4)/6 = 2/6, (-6)/6` <br/> ` x = 0.33 , -1` (not posoible) <br/> `:.[A_2]_(eq) = 1 - x =1 - 0.33 = 0.67` <br/> `[B_2]_(eq) = 1- x = 1-0.33 = 0.67`<br/> `[AB]_(eq) = 2x = 2 xx 0.33 = 0.66`</body></html>


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