# Calculate the number of moles of an ideal gas of volume 12.0 m^3

## Question

Calculate the number of moles of an ideal gas of volume 12.0 meter cube at a pressure of 6 x 103 Nm-2 and 27 degree celsius. [R = 8.0 Jmol-1k-1]

Outcome: The answer to the above question is 30 moles

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### Here is the method i apply to solve the problem

Data: Revealed values from the question

Volume of the gas, V = 12.0 m3

Pressure, P = 6 x 103 Nm-2

Temperature of the gas, T = 270C = 27 + 273 = 300 K

The universal gas constant, R = 8.0 Jmol-1k-1

Unknown: Unrevealed values from the question

Number of moles, n = ?

Formula: The formula we need to apply to solve the problem

Ideal gas equation (PV = nRT)

And since we are looking for n, then the formula to calculate the number of moles of an ideal gas is

n = PV / RT

#### Solution

We will insert our data into the formula

n = PV / RT = (6 x 103 x 12) / ( 8.0 x 300)

Which implies that

n = 72,000 / 2,400 = 30 moles

Therefore, the number of moles of an ideal gas is 30 moles.

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