Enter the pressure, volume, moles, and temperature into the calculator to determine the missing variable using the Ideal Gas Law.
Ideal Gas Law Formula
The following formula is used to calculate the missing variable in the Ideal Gas Law equation.
PV = nRT
Variables:
- P is the pressure in atmospheres (atm)
- V is the volume in liters (L)
- n is the number of moles of gas
- R is the ideal gas constant (0.0821 L·atm·K⁻¹·mol⁻¹)
- T is the temperature in Kelvin (K)
To calculate the missing variable, rearrange the Ideal Gas Law formula to solve for the unknown value.
| Pressure (atm) | Moles (mol) |
|---|---|
| 0.10 | 0.00409 |
| 0.20 | 0.00817 |
| 0.25 | 0.01021 |
| 0.33 | 0.01348 |
| 0.50 | 0.02043 |
| 0.75 | 0.03064 |
| 1.00 | 0.04085 |
| 1.25 | 0.05106 |
| 1.33 | 0.05433 |
| 1.50 | 0.06128 |
| 1.75 | 0.07149 |
| 2.00 | 0.08170 |
| 2.50 | 0.10213 |
| 3.00 | 0.12255 |
| 3.50 | 0.14298 |
| 4.00 | 0.16340 |
| 5.00 | 0.20425 |
| 6.00 | 0.24510 |
| 8.00 | 0.32680 |
| 10.00 | 0.40850 |
| Assumes ideal gas law with R = 0.0821 L·atm·K⁻¹·mol⁻¹, V = 1.00 L, T = 298.15 K (25°C). Formula: n = PV / (RT). | |
What is the Ideal Gas Law?
The Ideal Gas Law is a fundamental equation in chemistry and physics that describes the behavior of an ideal gas. It combines several gas laws, including Boyle’s Law, Charles’s Law, and Avogadro’s Law, into a single equation: PV = nRT. This equation relates the pressure, volume, and temperature of a gas to the number of moles of the gas and the ideal gas constant. The Ideal Gas Law is used to predict the behavior of gases under various conditions and is a crucial tool in both theoretical and practical applications in science and engineering.
How to Calculate Using the Ideal Gas Law?
The following steps outline how to calculate the missing variable using the Ideal Gas Law.
- First, determine the known values for pressure (P), volume (V), moles (n), and temperature (T).
- Next, rearrange the Ideal Gas Law formula to solve for the unknown variable.
- Insert the known values into the rearranged formula.
- Calculate the result to find the missing variable.
- After inserting the values and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Pressure (P) = 2 atm
Volume (V) = 5 L
Moles (n) = 0.5 mol
Temperature (T) = 300 K