Question

An ideal gas is contained in a 2.5L container at a pressure of 4.0atm. The container is at a temperature of 25 °C. What will be the final pressure if the temperature is increased to 50 °C

Answer 1

The final pressure will be approximately 4.33 atm when the temperature is increased to 50 °C.

Step-by-step explanation:

To solve this problem, we can use the combined gas law equation: P1V1/T1 = P2V2/T2.

First, convert the initial temperature from Celsius to Kelvin: T1 = 25 °C + 273.15 = 298.15 K.

Using the given values, we can plug them into the equation:

P1 = 4.0 atm, V1 = 2.5 L, T1 = 298.15 K

P2 = ?, V2 = 2.5 L, T2 = 50 °C + 273.15 = 323.15 K

Now we can solve for P2:

(4.0 atm)(2.5 L)/(298.15 K) = (P2)(2.5 L)/(323.15 K)

P2 = (4.0 atm)(323.15 K)/(298.15 K) = 4.334 atm

Therefore, the final pressure will be approximately 4.33 atm when the temperature is increased to 50 °C.