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Gay Lussac's Law Calculator
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The Gay Lussac's law states that At constant volume , the pressure of a given mass of a gas is directly proportional to its temperature on Kelvin scale or absolute scale.
P $\propto$ T
Let Pi be the initial pressure of a gas at temperature Ti and Pf is the final pressure at temperature Tf.
Then Gay Lussac's law is given as:
$\frac{P_{i}}{T_{i}}$ = $\frac{P_{f}}{T_{f}}$.
Gay Lussac's law Calculator calculates either Pi, Pf, Ti or Tf if any of the three quantities are given. 
 

Steps for Gay Lussac's Law Calculator

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Step 1 :  

Read the problem and List out the given quantities.



Step 2 :  

Use the formula:

$\frac{P_{i}}{T_{i}}$ = $\frac{P_{f}}{T_{f}}$.

Substitute the given quantities in the above formula to get the desired quantity.



Problems on Gay Lussac's Law Calculator

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  1. If initial temperature of a gas is 35oC at initial pressure 600 Pascal, Calculate final pressure if final temperature is 40oC?   


    Step 1 :  

    given: Ti = 35oC,


    Tf = 40oC,


    Pi = 600 Pascal,


    Pf = ?



    Step 2 :  

    Using the formula:


    Pf = Tf $\times$ $\frac{P_{i}}{T_{i}}$


        = 40 $\times$ $\frac{600}{35}$


        = 685.71 Pascal.



    Answer  :  

    The Final pressure is Pf = 685.71 Pascal.



  2. If the gas molecules are moving inside a box with a initial pressure of 100 pascal and has a initial temperature of 20oC. Calculate the final temperature if final pressure is 105 pascal?


    Step 1 :  

    given: Ti = 20oC,


    Tf = ?


    Pi = 100 Pascal,


    Pf = 105 Pascal.



    Step 2 :  

    $\frac{P_{i}}{T_{i}}$ = $\frac{P_{f}}{T_{f}}$.


    Using the formula:


    Tf = Pf $\times$ $\frac{T_{i}}{P_{i}}$


        = 105 $\times$ $\frac{293}{100}$


        = 307.65 K.



    Answer  :  

    The final temperature Tf = 305.65 K.



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