For the reaction $Mg(HCO_3)_{2(s)} \rightleftharpoons MgCO_{3(s)} + CO_{2(g)} + H_2O_{(g)}$,the equilibrium constant $K_p = 64 \ atm^2$. Calculate the total pressure at equilibrium.
(16 ATM) The equilibrium expression for the reaction is $K_p = P_{CO_2} \times P_{H_2O}$.
Since the stoichiometry of the gaseous products $CO_2$ and $H_2O$ is $1:1$,their partial pressures at equilibrium will be equal,i.e.,$P_{CO_2} = P_{H_2O} = P$.
Thus,$K_p = P \times P = P^2$.
Given $K_p = 64 \ atm^2$,we have $P^2 = 64$,which gives $P = 8 \ atm$.
The total pressure at equilibrium is $P_{total} = P_{CO_2} + P_{H_2O} = 8 \ atm + 8 \ atm = 16 \ atm$.
Since the stoichiometry of the gaseous products $CO_2$ and $H_2O$ is $1:1$,their partial pressures at equilibrium will be equal,i.e.,$P_{CO_2} = P_{H_2O} = P$.
Thus,$K_p = P \times P = P^2$.
Given $K_p = 64 \ atm^2$,we have $P^2 = 64$,which gives $P = 8 \ atm$.
The total pressure at equilibrium is $P_{total} = P_{CO_2} + P_{H_2O} = 8 \ atm + 8 \ atm = 16 \ atm$.
Explore More
Similar Questions
For the reaction $2Ag_2O_{(s)} \rightleftharpoons 4Ag_{(s)} + O_{2(g)}$,the partial pressure of $O_2$ is given by:
Medium
View SolutionFor the reaction $CO_{(g)} + Cl_{2_{(g)}} \rightleftharpoons COCl_{2_{(g)}}$,the value of $K_p/K_c$ is ....
Easy
View SolutionFor the decomposition of the compound,represented as $NH_2COONH_{4(s)} \rightleftharpoons 2NH_{3(g)} + CO_{2(g)}$,the $K_p = 2.9 \times 10^{-5} \ atm^3$. If the reaction is started with $1 \ mol$ of the compound,the total pressure at equilibrium would be............ $\times 10^{-2} \ atm$.
DifficultJEE MAIN 2014
View SolutionAt $298 \ K$,the value of $K_c$ for the following reaction is $x \ mol \ L^{-1}$. What is the approximate $K_p$ value for this reaction? $(R=0.082 \ L \ atm \ mol^{-1} \ K^{-1})$ $A_2O_{4(g)} \rightleftharpoons 2AO_{2(g)}$
The equilibrium constant for the reaction $N_2 + 3H_2 \rightleftharpoons 2NH_3$ is $K.$ Then,the equilibrium constant for the equilibrium $NH_3 \rightleftharpoons \frac{1}{2}N_2 + \frac{3}{2}H_2$ is
DifficultAIPMT 1996
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo