Answer:
[tex]n = 243.605[/tex]
Explanation:
Given
[tex]Pressure, P = 200\ atm[/tex]
[tex]Temperature, T = 300k[/tex]
[tex]Volume, V = 30L[/tex]
Required
Calculate the number of moles
We'll apply the following formula to solve this question
[tex]n = \frac{pV}{RT}[/tex]
Where
[tex]R = 0.0821 L\ atm/(mol\ K)[/tex]
The above equation is an illustration of the ideal gas law
Substitute values for p, V, R and T in:
[tex]n = \frac{pV}{RT}[/tex]
[tex]n = \frac{200 * 30}{0.0821 * 300}[/tex]
[tex]n = \frac{6000}{24.63}[/tex]
[tex]n = 243.605[/tex]
Hence, there are 243.605 moles