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# Ideal Gas Law Calculator

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Ideal gas law depicts the action of an ideal gas. Ideal gas equation is the result of pressure multiplied by the volume which is directly proportional to the outcome of temperature and the amount of gas. By using Ideal gas equation, ideal gas law calculator estimates the temperature, the amount as well as the volume, pressure of the gas.

Plug in the values into the Ideal gas law calculator and it will calculate the unknown variable.

## Steps

Step 1 : Note down all the given values of the problem.

Step 2 : Plug in the given values into the ideal gas equation given below and calculate the unknown.

Ideal gas equation is given by,
$PV = nRT$

where,
P = gas pressure,
V = gas volume,
n = number of moles,
R = ideal gas constant = 8.314 $J.K^{-1}$ or 0.08206 $L.atm.mol^{-1}.K^{-1}$
T = gas temperature.

## Problems

Below are some of the problems based on Ideal gas law.

### Solved Examples

Question 1: A cylinder filled with helium with pressure 10130.0 kPa and 50 L is at $30^{\circ}$C. Find the number of moles of helium in the cylinder?
Solution:
Step 1 :Given P = 10130.0 kPa
V = 50 L
n = ? mol
R = 8.314 $J K^-1 mol^-1$
T = $30^{\circ}$C = 30 + 273 = 303 K

Step 2 : By using the formula,
PV = nRT
10130.0 x 50 = n x 8.314 x 303
506500 = n x 2519.142
n = 506500 ÷ 2519.142 = 201.1 mol

Question 2: Calculate the temperature with 0.654 moles of neon gas that occupy 12.30 liters at 1.95 atmospheres?
Solution:
Step 1 : Given P = 1.95 atm
V = 12.30 L
n = 0.654 mol
R = 0.08206 $L atm mol^{-1} k^{-1}$
T = ?

Step 2 : By using the formula,
PV = nRT

T = $\frac{PV}{nR}$

= $\frac{(1.95 atm)(12.30 L)}{ (0.654 mol) (0.08206 L atm mol{-1} K^{-1}) }$

= 447 K