Ammonia gas has a molar mass of approximately 17 grams per mole. At 290K and 1.2 atm, a sample of ammonia has a volume of 3.7 L. In three to five sentences, explain how you can find the mass of the ammonia. Then, given R=0.0821L⋅atmmol⋅K , calculate the mass. (4 points)
To find the mass of ammonia, you can use the ideal gas law equation, PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin. First, rearrange the equation to solve for n by dividing both sides by RT. Then, substitute the given values for pressure, volume, and temperature into the equation, along with the value for R. Calculate the number of moles of ammonia gas. Finally, multiply the number of moles by the molar mass of ammonia to find the mass of ammonia. In this case, the calculation would be: (1.2 atm * 3.7 L) / (0.0821 L⋅atm/mol⋅K * 290 K) = 0.184 moles of ammonia. Multiply 0.184 moles by the molar mass of ammonia (17 g/mol), and the result is 3.128 grams of ammonia.
