The cylinder contains a diatomic ideal gas. How many times will the gas pressure increase if half of its molecules

The cylinder contains a diatomic ideal gas. How many times will the gas pressure increase if half of its molecules disintegrate into atoms? Consider the gas temperature constant.

At constant temperature, if a diatomic ideal gas, decomposes into atoms. That is, we get two atoms from a diatomic molecule. We will get twice as many atoms, that is, twice as many moles of matter. And this means that we will get twice the volume of gas, but since our volume is also constant, then according to the Boyle-Mariotto law, we will get a two-fold increase in gas pressure.

Answer: the gas pressure, with an isothermal process and a constant volume, will increase exactly twice.