A mixture of CO and `CO_2` having a volume of 30 mL is mixed with x " mL of " `O_2` and electrically sparked. The volume after explosion is `(20+x)` mL under the same condition. What would be the residual volume if 45 " mL of " the original mixture is treated with aueous NaOH?
(a). 10 mL
(b). 20 mL
(c). 30 mL
(d). 50 mL

Explanation

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the Initial Conditions
We have a mixture of carbon monoxide (CO) and carbon dioxide (CO₂) with a total volume of 30 mL. We denote the volume of CO as \( y \) mL and the volume of CO₂ as \( 30 - y \) mL.

### Step 2: Write the Reaction Equation
When the mixture is sparked with \( x \) mL of oxygen (O₂), the reaction can be represented as:
\[ \text{CO} + \frac{1}{2} \text{O}_2 \rightarrow \text{CO}_2 \]
...