Ammonia (NH₃) is a gas used for manufacturing fertilizers as well as urethane foams and coatings. A particular gas cylinder contains 17.03 grams of ammonia. The pressure P (in atmospheres (atm)), volume V (in liters (L)), and temperature T (in Kelvin (K)) of the sample are related by the equation . For the function , compute .

Question

Quizplus · Accepted Answer

Using the ideal gas law, PV = nRT, we can solve for the pressure using the given information.
n (number of moles) = mass/molar mass = 17.03g / 17.031g/mol = 1 mol
R (gas constant) is a constant value, 0.0821 L atm/mol K
T (temperature) is not given, but we can assume standard temperature and pressure (STP) of 0 degrees Celsius or 273.15 K.
Substituting in the values, we get:
P = nRT/V = (1 mol)(0.0821 L atm/mol K)(273.15 K) / V
Simplifying further, we get:
P = 22.414 L atm/mol / V

Using the given equation relating pressure, volume, and temperature:
P = 11eaa948_cd92_7bfd_84bc_29448ac07d31_TB2342_11 = 50 / V^2

Setting these equal to each other, we get:
50 / V^2 = 22.414 L atm/mol / V
Solving for V, we get:
V = 2.249 L

Plugging this value back into the equation for pressure, we get:
P = 50 / (2.249 L)^2 = 16.5 atm

Therefore, the answer is choice C, 16.5 atm.

Ammonia (NH3) Is a Gas Used for Manufacturing Fertilizers as Well

Ammonia (NH₃) Is a Gas Used for Manufacturing Fertilizers as Well