Temperature of gas calculation for CO₂

What is the temperature of the gas in a 3.50 L container filled with 3.50 mol of CO₂ gas when the manometer reads 3.80 atm?

Can you calculate the temperature of the gas using the van der Waals equation for real gases?

Temperature of the gas:

The temperature of the CO₂ gas is x Kelvin.

To find the temperature of the gas in a 3.50 L container filled with 3.50 mol of CO₂ gas when the manometer reads 3.80 atm, we can use the van der Waals equation for real gases. The van der Waals equation takes into account the volume of the gas molecules and intermolecular forces.

The van der Waals equation is given by: (P + a(n/v)²)(V - nb) = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, T is the temperature in Kelvin, a represents intermolecular forces, and b represents the volume of the gas molecules.

Given values are pressure (3.80 atm), number of moles (3.50 mol), volume (3.50 L), with constants a = 3.59 (L² atm)/mol² and b = 0.0427 L/mol for CO₂. By substituting these values into the van der Waals equation, we can solve for the temperature.

After calculation, the temperature of the gas is x Kelvin.