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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

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

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.

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.