Ammonia gas a molar mass of approximately 17 grams per mole. At 290K and 1.2 atm, a sample of ammonia has volume of 3.7 L. In three to five sentences, explain how you can find the mass of ammonia. Then, given R = 0.0821L*atm/mol*K, calculate the mass.
To find the mass of ammonia, we can use the ideal gas equation: 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. First, we need to calculate the number of moles of ammonia present using PV = nRT. Rearranging the equation, we have n = PV / RT. Plug in the values for P (1.2 atm), V (3.7 L), R (0.0821 L*atm/mol*K), and T (290 K) to calculate the number of moles. Finally, to find the mass, we can use the molar mass of ammonia (17 g/mol) by multiplying the number of moles by the molar mass.
Calculating n:
n = (1.2 atm * 3.7 L) / (0.0821 L*atm/mol*K * 290 K) = 0.18 moles
Calculating mass:
Mass = n * molar mass = 0.18 moles * 17 g/mol = 3.06 grams