Initial Pressure Of Gas By Ideal Gas Law Calculator

Formula Used:

\[ P_i = \frac{(P_{fin} \times V_2)}{T_2} \times \frac{T_1}{V_i} \]

Final Pressure of Gas (Pfin):

Pascal

Final Volume of Gas (V2):

m³

Final Temperature of Gas (T2):

Kelvin

Initial Temperature of Gas (T1):

Kelvin

Initial Volume of Gas (Vi):

m³

Initial Pressure of Gas (Pi):

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1. What is the Initial Pressure of Gas by Ideal Gas Law?

The Initial Pressure of Gas by Ideal Gas Law is the absolute pressure exerted by a given mass of an ideal gas under initial set of conditions, calculated using the ideal gas law relationship between pressure, volume, and temperature.

2. How Does the Calculator Work?

The calculator uses the formula derived from the Ideal Gas Law:

\[ P_i = \frac{(P_{fin} \times V_2)}{T_2} \times \frac{T_1}{V_i} \]

Where:

\( P_i \) — Initial Pressure of Gas (Pascal)
\( P_{fin} \) — Final Pressure of Gas (Pascal)
\( V_2 \) — Final Volume of Gas (m³)
\( T_2 \) — Final Temperature of Gas (Kelvin)
\( T_1 \) — Initial Temperature of Gas (Kelvin)
\( V_i \) — Initial Volume of Gas (m³)

Explanation: This formula is derived from the ideal gas law (PV = nRT) assuming constant amount of gas, allowing calculation of initial pressure from known final conditions and initial volume/temperature.

3. Importance of Initial Pressure Calculation

Details: Calculating initial pressure is crucial for understanding gas behavior under changing conditions, designing pressure systems, and analyzing thermodynamic processes involving ideal gases.

4. Using the Calculator

Tips: Enter all values in appropriate units (Pascal for pressure, m³ for volume, Kelvin for temperature). All values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the ideal gas law assumption?
A: The ideal gas law assumes gas molecules have negligible volume and no intermolecular forces, which works well for many gases at moderate temperatures and pressures.

Q2: When is this calculation not accurate?
A: This calculation may not be accurate for real gases at high pressures or low temperatures where intermolecular forces become significant.

Q3: Why use Kelvin for temperature?
A: Kelvin is an absolute temperature scale where 0 represents absolute zero, making it essential for gas law calculations that involve temperature ratios.

Q4: Can this be used for mixed gases?
A: Yes, the ideal gas law applies to gas mixtures as well, as long as the total pressure and volume are considered.

Q5: What if the amount of gas changes?
A: This formula assumes constant amount of gas (constant n). If the amount of gas changes, additional information about the change would be needed.