Ideal Gas Law Constant Calculator

Ideal Gas Law Equation:

\[ R = \frac{P \times V}{n \times T} \]

Pressure (P):

atm

Volume (V):

Amount of substance (n):

mol

Temperature (T):

Ideal Gas Constant (R):

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1. What is the Ideal Gas Law Constant?

The ideal gas law constant (R) relates the pressure, volume, temperature, and amount of an ideal gas. It appears in the ideal gas law equation PV = nRT and has different values depending on the units used.

2. How Does the Calculator Work?

The calculator uses the ideal gas law equation:

\[ R = \frac{P \times V}{n \times T} \]

Where:

\( P \) — Pressure (atm)
\( V \) — Volume (L)
\( n \) — Amount of substance (mol)
\( T \) — Temperature (K)
\( R \) — Ideal gas constant (L·atm/mol·K)

Explanation: The equation calculates the proportionality constant that relates these four variables in the ideal gas law.

3. Importance of the Gas Constant

Details: The gas constant is fundamental in thermodynamics and physical chemistry. It connects microscopic physics to macroscopic phenomena and appears in many equations beyond the ideal gas law.

4. Using the Calculator

Tips: Enter pressure in atmospheres, volume in liters, amount in moles, and temperature in Kelvin. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the accepted value of R?
A: The accepted value is 0.082057 L·atm/mol·K, but this calculator lets you determine it experimentally.

Q2: Why does R have different values?
A: The numerical value depends on the units used for pressure, volume, and temperature.

Q3: When is the ideal gas law valid?
A: It works best for low pressures and high temperatures where gas particles behave ideally.

Q4: What are other common units for R?
A: Common units include 8.314 J/mol·K and 1.987 cal/mol·K.

Q5: How accurate is this calculation?
A: Accuracy depends on your input measurements and how closely your gas behaves ideally.