Methane burns in air to give carbon dioxide and water. Give a chemical equation . Show(State ) how the mixtures of these gases can be separated

We're still giving you freebies. Somewhere down the line you need to start telling us what you think and why or at least tell us what you don't understand about the problem.

CH4 + 2O2 ==> CO2 + 2H2O
The problem isn't clear about which gases to separate. I assume that means how to separate H2O and CO2 but one could have CO2, H2O, CH4 and O2.
The easiest way is to use a dehydrating agent(dehydrite is one on the market) to take out the water, then ascarite or similar material to absorb the CO2. Another way is to cool the gases; the H2O will condense and you could then freeze it. By the way, the reference to a freebie above has nothing to do with money. We NEVER charge for our help. The reference simply means you aren't having to work for this answer.

The chemical equation for the combustion of methane in air can be represented as follows:

CH4 + 2O2 -> CO2 + 2H2O

In this equation, methane (CH4) reacts with oxygen (O2) to produce carbon dioxide (CO2) and water (H2O). The coefficients in front of each molecule indicate the balanced stoichiometric ratio.

To separate the mixture of carbon dioxide and water vapor, you can use several methods, two of which are:

1. Condensation: Since water vapor is in the gaseous state, it can be condensed back into a liquid by cooling. The mixture of gases can be cooled to a temperature below the dew point of water vapor, causing it to condense into liquid water, while carbon dioxide remains in the gaseous state. This separation process is commonly used in industrial settings.

2. Absorption: Carbon dioxide can be selectively absorbed from a mixture of gases using a suitable absorbent. One commonly used absorbent is an aqueous solution of amine compounds, such as monoethanolamine (MEA). When the mixture of gases is passed through the absorbent, the CO2 is absorbed and forms a soluble compound, while water vapor remains in the gaseous state. The absorbed CO2 can later be released from the absorbent through a process called desorption.

These are just two methods among several others available for separating the mixture of carbon dioxide and water vapor. The choice of method depends on factors such as the scale of separation, economic viability, and specific requirements.