Last Updated : 13 May, 2024
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Ideal Gas Law Calculator: This ideal gas law calculator helps you figure out the properties of an ideal gas when its pressure, temperature, or volume changes. It combines several gas laws into one equation: PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature. this GeeksforGeeks free online calculator uses the ideal gas law to provide quick and accurate results. Ideal for students, educators, and professionals, the ideal gas law calculator helps demystify complex gas behaviors, making it easier to predict how gases will react under varying conditions.
How to use the Ideal Gas Law Calculator
To calculate any one variable of the ideal gas law, follow these three steps:
- Identify the Known Variables: Gather the values for pressure (P), volume (V), temperature (T), and number of moles (n).
- Choose the Ideal Gas Constant (R): This depends on the units of P, V, and T. Commonly, R = 0.0821 L·atm/mol·K.
- Apply the Ideal Gas Law Formula: Rearrange PV = nRT to solve for your unknown variable and plug in the known values.
What is an Ideal Gas Law Calculator?
The Ideal Gas Law Calculator is a tool that helps you understand how a gas behaves under different conditions. It uses a formula that connects pressure, volume, temperature, and the amount of gas. By inputting any three of these factors, the calculator will tell you the fourth. This is especially useful for students, scientists, and engineers who work with gases and need to predict how changes in conditions will affect a gas.
Ideal Gas Law CalculatorFormula
The Ideal Gas Law is a formula used to calculate the properties of an ideal gas. This formula is expressed as:
PV = nRT
Here’s what each part of the formula means:
- P stands for pressure of the gas.
- V is the volume that the gas occupies.
- n is the amount of gas, measured in moles.
- R is the ideal gas constant, which is a fixed number that helps relate the other variables.
- T is the temperature of the gas, measured in Kelvin.
Ideal Gas Law Calculator Table
Scenario | Pressure (P) atm | Volume (V) L | Temperature (T) K | Moles (n) | Missing Variable Calculation | Result |
|---|---|---|---|---|---|---|
1 | 1.00 | 22.4 | 273 | 1.00 | – | – |
2 | 2.00 | – | 300 | 0.50 | V = nRT/P | 6.15 |
3 | – | 5.00 | 350 | 2.00 | P = nRT/V | 2.33 |
4 | 1.50 | 10.00 | – | 0.80 | T = PV/(nR) | 227.95 |
5 | 0.82 | 15.00 | 310 | – | n = PV/(RT) | 0.50 |
6 | 1.25 | 8.00 | 330 | 1.00 | – | – |
7 | 3.00 | 12.00 | – | 2.50 | T = PV/(nR) | 192.92 |
8 | – | 20.00 | 290 | 1.20 | P = nRT/V | 1.53 |
9 | 2.50 | – | 273 | 1.50 | V = nRT/P | 13.41 |
10 | 0.98 | 25.00 | – | 3.00 | T = PV/(nR) | 318.12 |
Solved Examples on Ideal Gas Law Calculator
1. Given P = 2 atm, n = 1 mol, T = 273 K:
Find V using R = 0.0821 L·atm/mol·K.
V = nRT/P = (1 mol * 0.0821 L·atm/mol·K * 273 K) / 2 atm = 11.23715 liters.
2. Given V = 10 L, n = 0.5 mol, T = 310 K:
Find P using R = 0.0821 L·atm/mol·K.
P = nRT/V = (0.5 mol * 0.0821 L·atm/mol·K * 310 K) / 10 L = 1.27315 atm.
3. Given P = 1.5 atm, V = 5 L, T = 290 K:
Find n using R = 0.0821 L·atm/mol·K.
n = PV/RT = (1.5 atm * 5 L) / (0.0821 L·atm/mol·K * 290 K) = 0.3151 moles.
3 Practice Questions on Ideal Gas Law Calculator
1. If you have a gas at 3 atm pressure and a volume of 8 liters at a temperature of 310 K, how many moles of the gas are present?
2. Calculate the volume of a 0.8 mol gas sample at 1.2 atm pressure and a temperature of 298 K.
3. What is the pressure exerted by 2 moles of a gas at a temperature of 350 K if the gas occupies a volume of 10 liters?
Conclusion
The ideal gas law is a powerful tool in understanding how gases interact with their environment. By mastering the calculations involved, you can predict the behavior of gases under various conditions. Whether you’re in a lab or solving problems in the classroom, a strong grasp of the ideal gas law is essential for anyone studying chemistry or physics.
Ideal Gas Law Calculator (Free Online Calculator) – FAQs
What is an Ideal Gas Law Calculator?
The Ideal Gas Law Calculator is a tool that helps you understand how a gas behaves under different conditions. It uses a formula that connects pressure, volume, temperature, and the amount of gas.
What is the ideal gas law?
It’s an equation (PV = nRT) that relates pressure, volume, temperature, and moles of an ideal gas.
What is an “ideal” gas?
An ideal gas is a hypothetical gas whose molecules do not interact and occupy no volume, following the ideal gas law perfectly.
How do you choose the right R value?
The R value depends on the units you’re using for pressure, volume, and temperature.
Can the ideal gas law be used for real gases?
It can be used as an approximation for real gases under many conditions, but not all.
What is standard temperature and pressure (STP)?
STP is commonly 0°C (273 K) and 1 atm pressure.
What units should temperature be in for these calculations?
Temperature should be in Kelvin for the ideal gas law.
How can I convert Celsius to Kelvin?
Add 273.15 to the Celsius temperature to get Kelvin.
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