Final answer:
To find the number of moles of oxygen gas in the cylinder, the Ideal Gas Law is applied using the known volume, pressure, and temperature values. By substituting those into the equation and solving for n, the number of moles is obtained.
Step-by-step explanation:
To calculate the number of moles of oxygen gas in a cylinder given the volume, pressure, and temperature, we can use the Ideal Gas Law, which is expressed as PV = nRT. Here, P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.
In this case, the volume (V) is 29.5 liters, the pressure (P) is 1.9 atmospheres, and the temperature (T) is 298 Kelvin. The ideal gas constant (R) is generally given as 0.0821 L*atm/(mol*K) when using these units.
By rearranging the Ideal Gas Law to solve for n (number of moles), we get:
n = PV/(RT)
By substituting the values, we can determine the number of moles of oxygen gas in the cylinder:
n = (1.9 atm * 29.5 L) / (0.0821 L*atm/(mol*K) * 298 K)
After calculating, we can provide the student with the exact number of moles present in the cylinder.