# Creating a Powerful Laser: Calculating Quantities for a New He-Ne Gas Laser

## How can we calculate the quantities for a new He-Ne gas laser?

Let's dive into the details and understand the calculations for the total volume, mole fraction of He and Ne, partial pressure of He and Ne, as well as the total pressure of the new laser tube with 5 mol Helium and 1 mol Neon.

## Calculating Quantities for a New He-Ne Gas Laser:

a) Total Volume = 46.18 cm³

b) Mole fraction of He = 0.8333

c) Mole fraction of Ne = 0.1666

d) Partial Pressure of He = 2648.68 atm

e) Partial Pressure of Ne = 529.73 atm

f) Total Pressure of the new laser tube = 3178.41 atm

To create a powerful laser with a new He-Ne gas mixture, we need to calculate various quantities based on the given information. First, we determine the total volume of the laser tube, which is found to be 46.18 cm³ using the formula for the volume of a cylinder.

Next, we calculate the mole fraction of Helium and Neon in the mixture. The mole fraction of Helium (He) is determined to be 0.8333, indicating a higher concentration of Helium compared to Neon, which has a mole fraction of 0.1666.

Moving on to the partial pressures of Helium and Neon, we utilize the ideal gas equation to find the partial pressure of each gas in the mixture. The partial pressure of Helium is calculated to be 2648.68 atm, while the partial pressure of Neon is 529.73 atm.

Finally, to determine the total pressure of the new laser tube, we simply add the partial pressures of Helium and Neon together. The total pressure is calculated to be 3178.41 atm, providing us with an insight into the overall pressure within the laser tube.

By understanding and calculating these quantities, we can optimize the performance and efficiency of the new He-Ne gas laser, creating a powerful tool for various applications in science and technology.