A gaseous mixture was prepared by taking 3 mol of `H_(2)` and 1 mol of
CO. If the total pressure of the mixture was found 2 atmosphere
then partial pressure of hydrogen `(H_(2))` in the mixture is :-

Options

A. `(3)/(2)`
B. `(1)/(2)`
C. 1
D. 2

Explanation

To find the partial pressure of hydrogen (H₂) in a gaseous mixture of H₂ and CO, we can follow these steps:

### Step 1: Identify the number of moles
We have:
- Moles of H₂ = 3 mol
- Moles of CO = 1 mol

### Step 2: Calculate the total number of moles in the mixture
Total moles = Moles of H₂ + Moles of CO
Total moles = 3 mol + 1 mol = 4 mol

### Step 3: Calculate the mole fraction of hydrogen (H₂)
Mole fraction of H₂ (X_H₂) = Moles of H₂ / Total moles
X_H₂ = 3 mol / 4 mol = 0.75

### Step 4: Use the total pressure to find the partial pressure of hydrogen
The total pressure of the mixture is given as 2 atm.
Partial pressure of H₂ (P_H₂) = Mole fraction of H₂ × Total pressure
P_H₂ = X_H₂ × Total pressure
P_H₂ = 0.75 × 2 atm = 1.5 atm

### Final Answer
The partial pressure of hydrogen (H₂) in the mixture is **1.5 atm**.

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