Final answer:
To calculate the number of moles of the gas, apply the ideal gas law rearranged to n = PV/(RT) using the given values for pressure (converted to Pa), volume, and temperature, along with the gas constant R.
Step-by-step explanation:
The student is asking to calculate the number of moles of a gas using the ideal gas law, which is expressed as PV = nRT where P is pressure, V is volume, n is number of moles, R is the ideal gas constant, and T is temperature in Kelvin. For this calculation, we need to rearrange the ideal gas law to solve for n (number of moles), so the formula becomes n = PV/(RT). It's important to ensure that all units are in the correct format: pressure needs to be in pascals (Pa), volume in cubic meters (m³), and the gas constant R is 8.314 J/(K·mol).
Given P = 149 kPa (which is 149000 Pa), V = 0.308 m³, and T = 325 K, and using R = 8.314 J/(K·mol), we substitute these values into the ideal gas law formula:
n = (149000 Pa × 0.308 m³) / (8.314 J/(K·mol) × 325 K)
After the calculation, the student will obtain the number of moles of the gas.