Final answer:
The volume of 5.0 grams of NO gas at STP can be calculated using the ideal gas law. The calculated volume is 3.36 L.
Step-by-step explanation:
The volume of a gas can be calculated using the ideal gas law, which states that PV = nRT, where 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.
At STP (standard temperature and pressure), the pressure is 1 atmosphere (atm) and the temperature is 273 Kelvin (K).
Given that the mass of NO gas is 5.0 grams, we need to convert mass to moles using the molar mass of NO.
The molar mass of NO is 30 grams/mol (14 g/mol for nitrogen + 16 g/mol for oxygen).
Using the formula moles = mass / molar mass, we can calculate the number of moles of NO gas.
moles = 5.0 g / 30 g/mol = 0.167 mol
Now, we can use the ideal gas law to calculate the volume:
PV = nRT
V = nRT / P
V = (0.167 mol)(0.08206 L-atm/mol-K)(273 K) / 1 atm
V = 3.36 L