How many times will the pressure of a diatomic ideal gas in a vessel change

How many times will the pressure of a diatomic ideal gas in a vessel change if at the same temperature a third of the molecules disintegrates into atoms.

To calculate the change in pressure of the indicated diatomic gas, we use the ratio: Рк / Рн = nк * k * T / (nн * k * T) = nк / nн = (Nк / V) / (Nн / V) = Nк / Nн, whence we express: Рк = Nк * Рн / Nн.

The ratio of variables: Nc (final number of particles in the vessel) = 4/3 Nn (initial number of particles).

Let’s perform the calculation: Pk = Nk * Rn / Nn = (4/3 Nn) * Rn / Nn = 4/3 Rn.

Answer: The pressure of the indicated diatomic gas will increase by 4/3 times.



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