Initial Temperature of Gas by Ideal Gas law Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial Temperature of Gas for Ideal Gas = (Initial Pressure of Gas*Initial Volume of Gas)/((Final Pressure of Gas*Final Volume of Gas for Ideal Gas)/Final Temperature of Gas for Ideal Gas)
T1 = (Pi*Vi)/((Pfin*V2)/T2)
This formula uses 6 Variables
Variables Used
Initial Temperature of Gas for Ideal Gas - (Measured in Kelvin) - The Initial temperature of gas for Ideal Gas is the measure of hotness or coldness of gas under the initial set of conditions.
Initial Pressure of Gas - (Measured in Pascal) - The Initial Pressure of Gas is the absolute pressure exerted by a given mass of an ideal gas under initial set of conditions.
Initial Volume of Gas - (Measured in Cubic Meter) - The Initial Volume of Gas is the absolute volume of the given mass of an ideal gas under an initial set of conditions.
Final Pressure of Gas - (Measured in Pascal) - The Final Pressure of Gas is the absolute pressure exerted by a given mass of an ideal gas under a final set of conditions.
Final Volume of Gas for Ideal Gas - (Measured in Cubic Meter) - The Final Volume of Gas for Ideal Gas is the absolute volume of the given mass of an ideal gas under a final set of conditions.
Final Temperature of Gas for Ideal Gas - (Measured in Kelvin) - Final Temperature of Gas for Ideal Gas is the measure of hotness or coldness of gas under the final set of conditions.
STEP 1: Convert Input(s) to Base Unit
Initial Pressure of Gas: 21 Pascal --> 21 Pascal No Conversion Required
Initial Volume of Gas: 11.2 Liter --> 0.0112 Cubic Meter (Check conversion ​here)
Final Pressure of Gas: 13 Pascal --> 13 Pascal No Conversion Required
Final Volume of Gas for Ideal Gas: 19 Liter --> 0.019 Cubic Meter (Check conversion ​here)
Final Temperature of Gas for Ideal Gas: 313 Kelvin --> 313 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T1 = (Pi*Vi)/((Pfin*V2)/T2) --> (21*0.0112)/((13*0.019)/313)
Evaluating ... ...
T1 = 298.046963562753
STEP 3: Convert Result to Output's Unit
298.046963562753 Kelvin --> No Conversion Required
FINAL ANSWER
298.046963562753 298.047 Kelvin <-- Initial Temperature of Gas for Ideal Gas
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
Prashant Singh has created this Calculator and 700+ more calculators!
Verifier Image
Verified by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
Prerana Bakli has verified this Calculator and 1600+ more calculators!

Ideal Gas Law Calculators

Number of Moles of Gas by Ideal Gas Law
​ LaTeX ​ Go Number of Moles = (Pressure of Gas*Volume of Gas)/([R]*Temperature of Gas)
Temperature of Gas by Ideal Gas Law
​ LaTeX ​ Go Temperature of Gas = (Pressure of Gas*Volume of Gas)/(Number of Moles*[R])
Volume of Gas from Ideal Gas Law
​ LaTeX ​ Go Volume of Gas = (Number of Moles*[R]*Temperature of Gas)/Pressure of Gas
Pressure by Ideal Gas Law
​ LaTeX ​ Go Pressure of Gas = (Number of Moles*[R]*Temperature of Gas)/Volume of Gas

Initial Temperature of Gas by Ideal Gas law Formula

​LaTeX ​Go
Initial Temperature of Gas for Ideal Gas = (Initial Pressure of Gas*Initial Volume of Gas)/((Final Pressure of Gas*Final Volume of Gas for Ideal Gas)/Final Temperature of Gas for Ideal Gas)
T1 = (Pi*Vi)/((Pfin*V2)/T2)

What is Ideal gas law?

The ideal gas law, also called the general gas equation, is the equation of state of a hypothetical ideal gas. It is a good approximation of the behavior of many gases under many conditions, although it has several limitations. Note that this law makes no comment as to whether a gas heats or cools during compression or expansion. An ideal gas may not change temperature, but most gases like air are not ideal and follow the Joule–Thomson effect.

How to Calculate Initial Temperature of Gas by Ideal Gas law?

Initial Temperature of Gas by Ideal Gas law calculator uses Initial Temperature of Gas for Ideal Gas = (Initial Pressure of Gas*Initial Volume of Gas)/((Final Pressure of Gas*Final Volume of Gas for Ideal Gas)/Final Temperature of Gas for Ideal Gas) to calculate the Initial Temperature of Gas for Ideal Gas, The Initial temperature of gas by ideal gas law formula is defined as the relation of pressure, volume, and temperature of the gas at a different set of conditions. Initial Temperature of Gas for Ideal Gas is denoted by T1 symbol.

How to calculate Initial Temperature of Gas by Ideal Gas law using this online calculator? To use this online calculator for Initial Temperature of Gas by Ideal Gas law, enter Initial Pressure of Gas (Pi), Initial Volume of Gas (Vi), Final Pressure of Gas (Pfin), Final Volume of Gas for Ideal Gas (V2) & Final Temperature of Gas for Ideal Gas (T2) and hit the calculate button. Here is how the Initial Temperature of Gas by Ideal Gas law calculation can be explained with given input values -> 298.047 = (21*0.0112)/((13*0.019)/313).

FAQ

What is Initial Temperature of Gas by Ideal Gas law?
The Initial temperature of gas by ideal gas law formula is defined as the relation of pressure, volume, and temperature of the gas at a different set of conditions and is represented as T1 = (Pi*Vi)/((Pfin*V2)/T2) or Initial Temperature of Gas for Ideal Gas = (Initial Pressure of Gas*Initial Volume of Gas)/((Final Pressure of Gas*Final Volume of Gas for Ideal Gas)/Final Temperature of Gas for Ideal Gas). The Initial Pressure of Gas is the absolute pressure exerted by a given mass of an ideal gas under initial set of conditions, The Initial Volume of Gas is the absolute volume of the given mass of an ideal gas under an initial set of conditions, The Final Pressure of Gas is the absolute pressure exerted by a given mass of an ideal gas under a final set of conditions, The Final Volume of Gas for Ideal Gas is the absolute volume of the given mass of an ideal gas under a final set of conditions & Final Temperature of Gas for Ideal Gas is the measure of hotness or coldness of gas under the final set of conditions.
How to calculate Initial Temperature of Gas by Ideal Gas law?
The Initial temperature of gas by ideal gas law formula is defined as the relation of pressure, volume, and temperature of the gas at a different set of conditions is calculated using Initial Temperature of Gas for Ideal Gas = (Initial Pressure of Gas*Initial Volume of Gas)/((Final Pressure of Gas*Final Volume of Gas for Ideal Gas)/Final Temperature of Gas for Ideal Gas). To calculate Initial Temperature of Gas by Ideal Gas law, you need Initial Pressure of Gas (Pi), Initial Volume of Gas (Vi), Final Pressure of Gas (Pfin), Final Volume of Gas for Ideal Gas (V2) & Final Temperature of Gas for Ideal Gas (T2). With our tool, you need to enter the respective value for Initial Pressure of Gas, Initial Volume of Gas, Final Pressure of Gas, Final Volume of Gas for Ideal Gas & Final Temperature of Gas for Ideal Gas and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Initial Temperature of Gas for Ideal Gas?
In this formula, Initial Temperature of Gas for Ideal Gas uses Initial Pressure of Gas, Initial Volume of Gas, Final Pressure of Gas, Final Volume of Gas for Ideal Gas & Final Temperature of Gas for Ideal Gas. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Initial Temperature of Gas for Ideal Gas = (Initial Pressure of Gas/Initial Density of Gas)/(Final Pressure of Gas/(Final Density of Gas*Final Temperature of Gas for Ideal Gas))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!