Ideal Gas Law Calculator: Pressure, Volume , Number of Moles and temperature calculator

Ideal Gas Equation Calculator

Calculate Pressure (P), Volume (V), Temperature (T), or Moles (n). Use the second field to input powers of 10 (e.g., 2 × 10⁵).

Pressure (P) in Pascals:

Volume (V) in m³:

Temperature (T) in Kelvin:

Moles (n):

Ideal Gas Law Calculator with Steps

Use this Ideal Gas Law Calculator to solve problems related to pressure, volume, temperature, and moles of gas. The ideal gas equation is given by:

\( PV = nRT \)

This pressure-volume-temperature calculator helps you find the unknown parameter using the known values of the remaining ones. It is useful in high school and college-level Physics, including Class 11 and Class 10 topics.

How to Use the Ideal Gas Equation Calculator

1. Select the unknown parameter: Decide whether you want to calculate temperature, volume, or pressure.
2. Enter known values: Input the known parameters. For example:
   • Pressure (P) in Pascals (Pa)
   • Volume (V) in cubic meters (\(m^3\))
   • Temperature (T) in Kelvin (K)
   • Moles of gas (n)
3. Click "Calculate": Press the Calculate button to get the result.
4. Review the Solution: The ideal gas equation calculator with solution displays the answer with steps, helping you understand the process.

Example: Ideal Gas Law Calculator for Temperature

Let’s calculate the temperature (T) of a gas when:

• Pressure (P) = 200,000 Pa
• Volume (V) = 1 \(m^3\)
• n = 2 moles

Using the equation:

\( T = \frac{PV}{nR} \)

Substitute the values:

\( T = \frac{(200,000 \, Pa) \times (1 \, m^3)}{(2 \, mol) \times (8.314 \, J \, mol^{-1} \, K^{-1})} \)

After solving, the temperature is:

\( T = 12,030 \, K \)

Combined Gas Law Calculator

Use the combined gas law calculator when the pressure, volume, and temperature change simultaneously. This law is represented as:

\( \frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2} \)

How to Calculate Volume of Gas with Pressure

The volume and temperature calculator can find gas volume if pressure and temperature are known. Use:

\( V = \frac{nRT}{P} \)

Applications of the Ideal Gas Law Calculator

• Ideal gas equation calculator class 11: Useful in solving Physics problems involving gases at this level.
• Ideal gas equation calculator class 10: Introduces the concepts of gas behavior and equations.
• Ideal gas equation calculator class 9: Basic problems to understand the relationship between gas parameters.
• Pressure volume temperature calculator with steps: Ideal for Physics students learning the behavior of gases under changing conditions.

FAQs: Pressure, Volume, Temperature Calculator

• Can I use Celsius in the ideal gas equation? No, convert to Kelvin by adding 273.15 to the Celsius value.
• What is the value of R? Use \(8.314 \, J \, mol^{-1} \, K^{-1}\) as the gas constant.
• How to use the combined gas law calculator? Enter the initial and final pressure, volume, and temperature values to calculate the unknown parameter.

Conclusion

The ideal gas equation calculator with solution provides step-by-step results for temperature, pressure, or volume. This tool is suitable for solving problems across different academic levels, including class 9, class 10, and class 11. Whether you’re working on Physics assignments or preparing for exams, the pressure, volume, temperature calculator will save time and ensure accurate answers.