Given, 100 cc, each of water gas and oxygen are ignited and the resultant mixture of gases cooled to room temperature. Calculate the composition of the resultant mixture. Water gas contains CO and H₂ in equal ratio.

To determine the composition of the resultant mixture after igniting 100 cc each of water gas and oxygen, we first need to understand the components involved.

Components of Water Gas

Water gas is a mixture of carbon monoxide (CO) and hydrogen (H₂) in equal ratios. Therefore, in 100 cc of water gas, we have:

• 50 cc of CO
• 50 cc of H₂

Reaction with Oxygen

When water gas is ignited with oxygen, the following reactions occur:

• 2 H₂ + O₂ → 2 H₂O
• 2 CO + O₂ → 2 CO₂

Calculating the Reaction

We have 100 cc of oxygen available for the reaction. Let's analyze how much of each gas will react:

• For hydrogen: 50 cc of H₂ will react with 25 cc of O₂ (since 2 H₂ requires 1 O₂).
• For carbon monoxide: 50 cc of CO will react with 25 cc of O₂ (since 2 CO requires 1 O₂).

Remaining Gases

After the reactions, we can calculate the remaining gases:

• Oxygen used: 25 cc for H₂ and 25 cc for CO, totaling 50 cc.
• Remaining O₂: 100 cc - 50 cc = 50 cc.
• Water produced: 50 cc of H₂ will produce 50 cc of H₂O (in vapor form initially).
• CO₂ produced: 50 cc of CO will produce 50 cc of CO₂.

Final Composition

After cooling the mixture to room temperature, the water vapor will condense, leaving us with:

• 50 cc of unreacted O₂
• 50 cc of CO₂
• 0 cc of H₂O (as it condenses)

Summary of Resultant Mixture

The final composition of the resultant gas mixture at room temperature is:

• 50 cc of O₂
• 50 cc of CO₂

This gives us a total of 100 cc of gas, consisting of equal parts oxygen and carbon dioxide after the reaction and cooling process.