JEE Main · 2024 · Shift-IIeasyCEQ-003

The ratio KPKC for the reaction: CO(g) + 12O2(g) CO2(g) is:

Chemical Equilibrium · Class 11 · JEE Main Previous Year Question

Question

The ratio $\frac{K_P}{K_C}$ for the reaction: $\mathrm{CO_{(g)} + \frac{1}{2}O_{2(g)} \rightleftharpoons CO_{2(g)}}$ is:

Options

a
$\frac{1}{\sqrt{RT}}$
✓
b
$(RT)^{1/2}$
c
$RT$
d
$1$

Correct Answera

$\frac{1}{\sqrt{RT}}$

Detailed Solution

Formula: $K_P = K_C (RT)^{\Delta n_g}$ , so $\frac{K_P}{K_C} = (RT)^{\Delta n_g}$

Step 1 — Calculate $\Delta n_g$ : $\Delta n_g = \text{moles of gaseous products} - \text{moles of gaseous reactants} = 1 - \left(1 + \frac{1}{2}\right) = 1 - 1.5 = -\frac{1}{2}$

Step 2 — Calculate ratio: $\frac{K_P}{K_C} = (RT)^{-1/2} = \frac{1}{\sqrt{RT}}$

Answer: Option (1) $\frac{1}{\sqrt{RT}}$

Practice this question with progress tracking

Want timed practice with adaptive difficulty? Solve this question (and hundreds more from Chemical Equilibrium) inside The Crucible, our adaptive practice platform.

Practice in The Crucible →Browse Chemical Equilibrium chapter →

More JEE Main Chemical Equilibrium PYQs

2024medium

The equilibrium constant for the reaction SO3(g) SO2(g) + 12O2(g) is Kc = 4.9 10-2. The value of Kc for the reaction 2SO2(g) + O2(g) 2SO3(g) is:

2024easy

For the given reaction, choose the correct expression of KC: Fe3+(aq) + SCN-(aq) (FeSCN)2+(aq)

2024easy

For the given hypothetical reactions, the equilibrium constants are: X Y;\ K1 = 1.0 Y Z;\ K2 = 2.0 Z W;\ K3 = 4.0 The equilibrium constant for the reaction X W is

2024hard

A(g) B(g) + C2(g). The correct relationship between KP, and equilibrium pressure P is

2024hard

At -20 °C and 1 atm pressure, a cylinder is filled with equal number of H2, I2 and HI molecules for the reaction H2(g) + I2(g) 2HI(g). The Kp for the process is x 10-1. The value of x is ____ [R =…

View all 31 Chemical Equilibrium PYQs →