Answer:
[tex]n = 243.605[/tex]
Explanation:
Given
[tex]P = 200atm[/tex] -- Pressure
[tex]T = 300k[/tex] --- Temperature
[tex]V = 30L[/tex] --- Volume
Required
Determine the number of moles
This question will be solved using ideal gas law which states:
[tex]pV = nRT[/tex]
Make n the subject:
[tex]n = \frac{pV}{RT}[/tex]
Where
[tex]R = 0.0821 L\ atm/(mol\ K)[/tex]
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] -- approximated
Hence, there are 243.605 moles
