Question

a scuba tank has a pressure of 195 atm at a temperature of 10 degree Celsius. The volume of the tank is 350 L. How many moles of air are in the tank?

Answer 1

The answer is 2939 moles.

Step-by-step explanation:

To obtain the moles from these values yo should apply the ideal gas formula because in a scuba tank all gas that you have inside is air:

PV= nRT. (1)

Thus the moles number, n, is:

n = PV/ RT (2)

Where:

P is pressure: 195 atm;

V is volume: 350 L,

R is gas constant: 0,082 atm×L / mol×K

And T is temperature: 10°C, that must be converted in k, thus:

10°C + 273,15 = 283,15 K

Replacing these values in (2) the moles number, n, is:

2939 moles of air

Answer 2

To determine the number of moles of air present in the tank, we assume that air is an ideal gas in order for us to use the following equation,
n = PV/RT
Substituting the known values,
n = (195 atm)(350 L) / (0.0821 L.atm/mol.K)(10 + 273.15 K)
n = 2935.91 moles
Thus, the number of moles of air is approximately 2935.91 moles.