To find the mass of the ammonia gas, we can use the Ideal Gas Law equation: PV = nRT. Rearranging this equation gives us n = PV/RT, where n is the number of moles of ammonia gas. Since the molar mass of ammonia is given as 17 grams per mole, we can multiply the number of moles (n) by the molar mass to find the mass of the ammonia gas.
To find the mass of the ammonia gas, we need to know the values for pressure (P), volume (V), temperature (T), and the ideal gas constant (R).
Let's say we have a pressure of 1 atmosphere (atm), a volume of 22.4 liters (L), and a temperature of 273 Kelvin (K). The ideal gas constant (R) is typically given as 0.0821 liter-atmospheres per mole-kelvin (L·atm/mol·K).
Plugging these values into the Ideal Gas Law equation, PV = nRT, we have:
n = PV/RT
n = (1 atm) * (22.4 L) / ((0.0821 L·atm/mol·K) * (273 K))
Simplifying the equation, we get:
n ≈ 1 mol
Since the number of moles of ammonia gas (n) is approximately 1, we can now calculate the mass using the molar mass of ammonia (17 grams/mol):
Mass = n * Molar Mass
Mass = 1 mol * 17 g/mol
Mass = 17 grams
Therefore, the mass of the ammonia gas is approximately 17 grams.