Question

The volume of an oxygen storage tank is 0.300m3. When the temperature is 50.0°F, the pressure gauge reads 194 lb/in2. What is the mass of the oxygen?

Answer 1

To find the mass of the oxygen in the storage tank, we can use the ideal gas law equation PV = nRT. By converting the given pressure and volume to appropriate units and rearranging the equation, we can calculate the number of moles of oxygen. Then, we can find the mass using the molar mass of oxygen.

Step-by-step explanation:

To find the mass of the oxygen, we can use the ideal gas law equation, PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.

We need to convert the given pressure from lb/in2 to atm, and the volume from m3 to L.

Then, we can rearrange the equation to solve for n, the number of moles, and use the molar mass of oxygen to find the mass.

Let's calculate:

1. Convert the pressure from lb/in2 to atm: 194 lb/in2 * 0.068046 atm/lb/in2 ≈ 13.218 atm
2. Convert the volume from m3 to L: 0.300 m3 * 1000 L/m3 = 300 L
3. Calculate the number of moles: (13.218 atm * 300 L) / (0.0821 atm·L/mol·K * 50.0 °F + 459.67 °F) = 153.53 moles
4. Calculate the mass of oxygen: 153.53 moles * 32.0 g/mol = 4,924.96 g

Therefore, the mass of the oxygen is approximately 4,924.96 grams.