Combined Gas Law Calculator

The Combined Gas Law is a crucial concept in chemistry and physics, used to determine how gases behave under different conditions. If you need a quick and accurate way to calculate gas properties, our Combined Gas Law Calculator is the perfect tool. Whether you're a student, researcher, or professional, this tool simplifies the calculation process, allowing you to focus on understanding gas laws rather than struggling with manual math.

What is the Combined Gas Law?

The Combined Gas Law brings together three essential gas laws: Boyle’s Law, Charles’s Law, and Gay-Lussac’s Law. It provides a relationship between pressure (P), volume (V), and temperature (T) of a gas when the amount of gas remains constant.

The formula for the Combined Gas Law is:

$$\frac{P_1\times V_1}{T_1}=\frac{P_2\times V_2}{T_2}$$

Where:

• $P_1$ and $P_2$ are initial and final pressures
• $V_1$ and $V_2$ are initial and final volumes
• $T_1$ and $T_2$ are initial and final temperatures (in Kelvin)

This equation helps in understanding how gas properties change under different conditions, making it useful for various scientific and industrial applications.

How to Use the Combined Gas Law Calculator

Using our online Combined Gas Law Calculator is simple. Just enter the known values, and it will compute the unknown variable instantly. Follow these steps:

1. Enter the initial pressure (P1) – This is the starting pressure of the gas.
2. Enter the initial volume (V1) – Input the starting volume of the gas.
3. Enter the initial temperature (T1) – This should be in Kelvin. Convert Celsius to Kelvin using: $K = °C + 273.15$.
4. Enter the final pressure (P2) – If unknown, leave it blank for the calculator to find it.
5. Enter the final volume (V2) – Enter the changed volume or leave blank if you need it calculated.
6. Enter the final temperature (T2) – Provide the new temperature value.
7. Click on “Calculate” – The result will be displayed with step-by-step calculations.

Example Calculation

Let’s say a gas has an initial pressure of 2 atm, a volume of 3 L, and a temperature of 300 K. If the pressure changes to 4 atm and the temperature rises to 400 K, what will be the final volume?

Using the Combined Gas Law formula:

$$\frac{2\times 3}{300}=\frac{4\times V_2}{400}$$

Solving for $V_2$:

$$V_2=\frac{2\times 3\times 400}{4\times 300}=2\text{ L}$$

Thus, the final volume of the gas will be 2 L.

Combined Gas Law Formula for Finding V2, P2, or T2

If you want to find a specific value, rearrange the equation accordingly:

• To find $V_2$: $$V_2=\frac{P_1\times V_1\times T_2}{P_2\times T_1}$$
• To find $P_2$: $$P_2=\frac{P_1\times V_1\times T_2}{V_2\times T_1}$$
• To find $T_2$: $$T_2=\frac{P_2\times V_2\times T_1}{P_1\times V_1}$$

Gas Law Calculations at STP

At standard temperature and pressure (STP), the values are:

• Standard Temperature = 273.15 K
• Standard Pressure = 1 atm

If any value is missing, use these standard values to make calculations more precise.

Final Verdict

The Combined Gas Law Calculator is an essential tool for students and professionals working with gases. It simplifies the complex calculations of gas laws and provides instant results with accuracy. Whether you are solving problems in chemistry or handling gas-related industrial applications, this calculator saves time and ensures precision.

FAQs

What is the formula for the Combined Gas Law?

The formula is:

$$\frac{P_1 \times V_1}{T_1} = \frac{P_2 \times V_2}{T_2}$$

Can I use the Combined Gas Law Calculator for real-life gas applications?

Yes! It is useful for scientific, industrial, and educational purposes.

How do I convert Celsius to Kelvin for gas law calculations?

Add 273.15 to the Celsius value:

$$K=\mathrm{°}C+273.15$$

Does the calculator work for all gases?

The Combined Gas Law works best for ideal gases, but it can also approximate real gas behavior under normal conditions.

What is STP in gas law calculations?

Standard Temperature and Pressure (STP) refers to 273.15 K and 1 atm pressure, commonly used for comparing gas properties.