Question:
The relation between equilibrium constants \(K_C\) and \(K_P\) is:
The relation between equilibrium constants \(K_C\) and \(K_P\) is:
Show Hint
Remember: \(\Delta n = moles_{products} - moles_{reactants}\) for gases when converting between \(K_C\) and \(K_P\).
Updated On: Jun 19, 2026
- \(K_P = K_C(RT)^{\Delta n}\)
- \(K_P = K_C(RT)^{1/\Delta n}\)
- \(K_C = K_P(RT)^{\Delta n}\)
- \(K_C = K_P(RT)^{1/\Delta n}\)
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Definition of \(K_C\) and \(K_P\).
\(K_C\) is equilibrium constant in terms of concentration (mol/L), \(K_P\) is in terms of partial pressures (atm).
Step 2: Use ideal gas relation.
For a gas, \(P = CRT\), where \(C\) is molar concentration.
Step 3: Express \(K_P\) in terms of \(K_C\).
\[ K_P = \prod (P_i)^{\nu_i} = \prod (C_i RT)^{\nu_i} = K_C (RT)^{\sum \nu_i} \]
Step 4: Define \(\Delta n\).
\(\Delta n = \sum \nu_{\text{products}} - \sum \nu_{\text{reactants}}\).
Step 5: Substitute \(\Delta n\).
\[ K_P = K_C (RT)^{\Delta n} \]
Step 6: Final conclusion.
This is the standard relation between \(K_P\) and \(K_C\) for gaseous equilibria.
\(K_C\) is equilibrium constant in terms of concentration (mol/L), \(K_P\) is in terms of partial pressures (atm).
Step 2: Use ideal gas relation.
For a gas, \(P = CRT\), where \(C\) is molar concentration.
Step 3: Express \(K_P\) in terms of \(K_C\).
\[ K_P = \prod (P_i)^{\nu_i} = \prod (C_i RT)^{\nu_i} = K_C (RT)^{\sum \nu_i} \]
Step 4: Define \(\Delta n\).
\(\Delta n = \sum \nu_{\text{products}} - \sum \nu_{\text{reactants}}\).
Step 5: Substitute \(\Delta n\).
\[ K_P = K_C (RT)^{\Delta n} \]
Step 6: Final conclusion.
This is the standard relation between \(K_P\) and \(K_C\) for gaseous equilibria.
Was this answer helpful?
0
0
Top AP EAPCET Chemistry Questions
- The four quantum numbers of the valence electron of potassium are :
- The volume of $0.02\, M$ acidified permanganate solution required for complete reaction of $60\, mL$ of $0.01\, MI^{-}$ ion solution to form $I_2$ in $mL$ is
- In which of the following the election gain enthalpy of elements is correctly arranged?
- The radii of $ \text{F,}{{\text{F}}^{-}}\text{O} $ and $ {{\text{O}}^{2-}} $ are in the order
- Which of the following has the highest first ionization potential?
View More Questions
Top AP EAPCET Law Of Chemical Equilibrium And Equilibrium Constant Questions
- The equilibrium constant for the dissociation of HI at 773 K is:
For the reaction: $A_2(g) \rightleftharpoons B_2(g)$
The equilibrium constant $K_c$ is given as 99.0. In a 1 L closed flask, two moles of $B_2(g)$ is heated to $T(K)$. What is the concentration of $B_2(g)$ (in mol L$^{-1}$) at equilibrium?
- At T(K), the $K_p$ for the reaction $A_2B_6(g) \rightleftharpoons 2A_2B_4(g) + B_2(g)$ is 0.04 atm. The equilibrium pressure (in atm) of $A_2B_6(g)$ when it is placed in a flask at 4 atm pressure and allowed to come to above equilibrium is
At 1000 K, the value of $K_c$ for the below reaction is $10 \text{ mol L}^{-1}$. Value of $K_p$ (in atm) is (given $R = 0.082 \text{ atm L mol}^{-1} \text{K}^{-1}$)
${\{A(g) <=> B(g) + C(g)}$- The formation of ammonia from its constituent elements is an exothermic reaction. \ The effect of increase in temperature on the reaction equilibrium is:
View More Questions
Top AP EAPCET Questions
- A body is projected from the ground at an angle of $\tan^{-1} \left( \frac{8}{7}\right)$ with the horizontal. The ratio of the maximum height attained by it to its range is
- The four quantum numbers of the valence electron of potassium are :
- A lens forms real and virtual images of an object, when the object is at $u_{1}$ and $u_{2}$ distances respectively. If the size of the virtual image is double that of the real image, then the focal length of the lens is (take, the magnification of the real image as $m$ )
- Two spheres $P$ and $Q$, each of mass $200\, g$ are attached to a string of length one metre as shown in the figure. The string and the spheres are then whirled in a horizontal circle about $O$ at a constant angular speed. The ratio of the tension in the string between $P$ and $Q$ to that of between $P$ and $O$ is $(P$ is at mid-point of the line joining $O$ and $Q$ )
- The volume of $0.02\, M$ acidified permanganate solution required for complete reaction of $60\, mL$ of $0.01\, MI^{-}$ ion solution to form $I_2$ in $mL$ is
View More Questions