Enter the number of moles, ideal gas constant, temperature, and volume into the calculator to determine the pressure in kPa.
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Ideal Gas Law Formula
The following formula is used to calculate the pressure for a given number of moles, ideal gas constant, temperature, and volume.
P = (n * R * T) / V
Variables:
- P is the pressure in kPa
- n is the number of moles
- R is the ideal gas constant (8.314 J/(mol·K))
- T is the temperature in Kelvin (K)
- V is the volume in liters (L)
To calculate the pressure, multiply the number of moles by the ideal gas constant and temperature, then divide the result by the volume.
| Moles (mol) | Pressure (kPa) |
|---|---|
| 0.005 | 12.394 |
| 0.010 | 24.788 |
| 0.015 | 37.182 |
| 0.020 | 49.576 |
| 0.025 | 61.970 |
| 0.033 | 81.801 |
| 0.040 | 99.153 |
| 0.041 | 101.632 |
| 0.050 | 123.941 |
| 0.075 | 185.911 |
| 0.100 | 247.882 |
| 0.125 | 309.852 |
| 0.150 | 371.823 |
| 0.200 | 495.764 |
| 0.250 | 619.705 |
| 0.333 | 825.447 |
| 0.400 | 991.528 |
| 0.500 | 1239.410 |
| 0.750 | 1859.114 |
| 1.000 | 2478.819 |
| Assumes ideal gas behavior with P = nRT / V, V = 1.00 L, T = 298.15 K (25°C), R = 8.314 kPa·L/(K·mol). Values scale linearly with moles and inversely with volume. | |
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 one comprehensive formula. The Ideal Gas Law is expressed as PV = nRT, where P represents pressure, V represents volume, n represents the number of moles, R represents the ideal gas constant, and T represents temperature. This law provides a good approximation of the behavior of real gases under many conditions, although it assumes that the gas particles do not interact and occupy no volume, which is not true for real gases.
How to Calculate Pressure Using the Ideal Gas Law?
The following steps outline how to calculate the pressure using the Ideal Gas Law.
- First, determine the number of moles (n).
- Next, determine the ideal gas constant (R), which is typically 8.314 J/(mol·K).
- Next, determine the temperature (T) in Kelvin.
- Next, determine the volume (V) in liters.
- Finally, calculate the pressure (P) using the formula P = (n * R * T) / V.
- 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.
Number of moles (n) = 2
Ideal gas constant (R) = 8.314 J/(mol·K)
Temperature (T) = 300 K
Volume (V) = 10 L