Sure, let's work through this problem step-by-step.
When two gases are mixed at a constant temperature, the total pressure exerted by the mixture of gases in a container can be found using Dalton's Law of Partial Pressures. According to Dalton's Law, the total pressure exerted by a mixture of non-reacting gases is equal to the sum of the partial pressures of the individual gases.
Here are the pressures of the two given gases:
- Pressure of gas 1: [tex]\( 2 \, \text{atm} \)[/tex]
- Pressure of gas 2: [tex]\( 3 \, \text{atm} \)[/tex]
To find the total pressure when these gases are mixed, we sum the pressures of the two gases:
[tex]\[
\text{Total Pressure} = \text{Pressure of gas 1} + \text{Pressure of gas 2}
\][/tex]
Substituting in the values:
[tex]\[
\text{Total Pressure} = 2 \, \text{atm} + 3 \, \text{atm}
\][/tex]
Performing the addition:
[tex]\[
\text{Total Pressure} = 5 \, \text{atm}
\][/tex]
So the correct answer to the question, using the choices provided, is:
A. [tex]\( 2 \, \text{atm} + 3 \, \text{atm} \)[/tex]
As this correctly states the operation to find the total pressure of the gas mixture.
