a. An apparatus consists of a 2 L flask containing nitrogen gas at 28◦C and 706 kPa and is joined by a valve to a 6 L flask. The valve is opened, and the gas is allowed to occupy both sides of the apparatus. What is the pressure of the gas once it reaches equilibrium in both sides?

Respuesta :

Nitrogen gas has a pressure of 706 kPa in a 2 L flask and a pressure of 177 kPa when a 6 L flask is added, both at 28 °C.

Nitrogen gas at 28 °C and 706 kPa (P₁) occupies a 2 L flask (V₁). When a valve is opened, the gas can also occupy a 6 L flask. The total volume occupied by the gas (V₂) will be:

[tex]V_2 = 2 L + 6 L = 8 L[/tex]

Assuming constant temperature and ideal behavior, we can calculate the final pressure (P₂) of the gas using Boyle's law.

[tex]P_1 \times V_1 = P_2 \times V_2\\\\P_2 = \frac{P_1 \times V_1 }{V_2} = \frac{706 kPa \times 2L }{8L} = 177kPa[/tex]

Nitrogen gas has a pressure of 706 kPa in a 2 L flask and a pressure of 177 kPa when a 6 L flask is added, both at 28 °C.

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