Final answer:
To calculate the real volumetric flow rate of a gas, we can use the ideal gas law equation PV = nRT.
Rearranging the equation and substituting the given values, the real volumetric flow rate is 972.68 cm³/s.
Step-by-step explanation:
The real volumetric flow rate of a gas can be calculated using the ideal gas law equation, PV = nRT.
In this equation, 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 Kelvin.
To calculate the real volumetric flow rate, we need to convert the given temperature from Celsius to Kelvin.
Adding 273.15 to -15°C gives a temperature of 258.15K.
Next, we can rearrange the ideal gas law equation to solve for V, which represents the volume:
V = (nRT) / P
Substituting the given values into the equation, we have:
V = (n × R × T) / P
= (45 × 0.0821 × 258.15) / 1.5
= 972.68 cm³/s.