One mole of an ideal gas is sealed in a 22.4-l container at a pressure of 1 atm and a temperature of 273 k. the temperature is then increased to 301 k , but the container does not expand. what will the new pressure be?

Respuesta :

Since the container did not expand despite the change, this means that volume was constant during the process. Gay-Lussac's law states that for ideal gases with constant volume, pressure and temperature are directly proportional.

Mathematically, we have

[tex] \frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}} [/tex]

where P₁ & P₂ are the pressures and T₁ & T₂ are the temperatures of the system. 

Using the values provided, we have

[tex] \frac{1}{P_{2}} = \frac{273}{301} [/tex]
[tex] P_{2} = \frac{301}{273} [/tex]
[tex] P_{2} = 1.10 [/tex]

Therefore, the new pressure has a value of 1.10 atm.

Answer: 1.10 atm