Final answer:
The number of moles of oxygen in a compressed cylinder can be calculated using the Ideal Gas Law equation n = PV/RT. With the given values of 15.0 atm pressure, 17.0 L volume, and a temperature of 25°C (converted to 298.15 K), the calculation provides the moles of gas in the cylinder.
Step-by-step explanation:
Calculating Moles of Oxygen in a Compressed Cylinder
To calculate the number of moles of oxygen gas (O2) contained in a compressed cylinder, we can use the Ideal Gas Law, which is PV = nRT. Here, P represents pressure, V is the volume, n is the number of moles of gas, R is the universal gas constant, and T is the temperature in Kelvin (K).
To solve for n, the number of moles, the equation can be rearranged to n = PV/RT. First, convert the given temperature from degrees Celsius to Kelvin by adding 273.15, which gives T = 25 + 273.15 = 298.15 K.
Using the provided values:
- Pressure (P) = 15.0 atm
- Volume (V) = 17.0 L
- Universal gas constant (R) = 0.0821 L·atm/K·mol
- Temperature (T) = 298.15 K
The calculation for n is as follows:
n = (15.0 atm × 17.0 L) / (0.0821 L·atm/K·mol × 298.15 K)
The number of moles of oxygen is determined through this calculation. It's important to note that the volume should be in liters, the pressure in atmospheres, and the temperature in Kelvin for the gas constant value used.