## What Is the Correct Numerical Setup for Calculating the Final Volume of the Helium Gas Sample

What Is the Correct Numerical Setup for Calculating the Final Volume of the Helium Gas Sample?

When it comes to calculating the final volume of a helium gas sample, it is essential to follow the correct numerical setup to ensure accurate results. This calculation is commonly used in various scientific experiments and industrial processes. Here is the correct numerical setup for determining the final volume of a helium gas sample:

1. Measure the initial volume (Vi) of the helium gas sample using a graduated cylinder or any other suitable measuring instrument. Make sure to record this value.

2. Determine the initial temperature (Ti) of the helium gas sample. It is crucial to measure the temperature in degrees Celsius or Kelvin.

3. Record the initial pressure (Pi) of the helium gas sample. Use a pressure gauge or any other device capable of measuring pressure accurately.

4. If any changes occur in the temperature or pressure during the experiment, measure the final temperature (Tf) and final pressure (Pf) of the helium gas sample.

5. Convert the initial temperature (Ti) and final temperature (Tf) to Kelvin if they were initially measured in degrees Celsius. To convert Celsius to Kelvin, add 273.15 to the Celsius value.

6. Apply the ideal gas law equation (PV = nRT) to calculate the final volume (Vf) of the helium gas sample. Rearrange the equation to solve for Vf: Vf = (nRTf) / Pf.

7. Substitute the known values into the equation. n represents the number of moles of helium gas, R is the ideal gas constant (8.314 J/(mol·K)), Tf is the final temperature in Kelvin, and Pf is the final pressure.

FAQs:

1. What is the ideal gas law equation?
The ideal gas law equation is PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.

2. What is the ideal gas constant?
The ideal gas constant (R) is a physical constant that appears in the ideal gas law equation. Its value is approximately 8.314 J/(mol·K).

3. Can I use the ideal gas law equation for any gas?
The ideal gas law equation is applicable to ideal gases under normal conditions. However, it may not be accurate for real gases at high pressures or low temperatures.

4. How do I convert Celsius to Kelvin?
To convert Celsius to Kelvin, add 273.15 to the Celsius value.

5. Why is it important to measure the initial and final temperature and pressure?
Changes in temperature and pressure can affect the volume of a gas sample. Therefore, it is crucial to measure and consider these values for accurate calculations.

6. What units should be used for pressure, volume, and temperature?
Pressure is typically measured in pascals (Pa) or atmospheres (atm), volume in cubic meters (m³) or liters (L), and temperature in Kelvin (K).

7. Can I use this numerical setup for gases other than helium?
Yes, the numerical setup for calculating the final volume of a gas sample can be applied to any gas as long as the ideal gas law is valid for that gas under given conditions.