Answer:
3.92 atm
Explanation:
The formula for the pressure of a gas is P = nRT/V. We have the following:
R - 0.0821 (gas constant)
T - 298 K
V - 3.66 L
n - ? (in moles)
We have to find the moles of the NH₃ gas. To do that, we have to divide the mass of the NH₃ gas by the molar mass of NH₃.
10.0 g × 1 mol NH₃/17.03 g NH₃ = 0.587 moles (rounded to 3 decimal places)
Now we have all the information needed to solve for the pressure.
P = nRT/V
P = (0.587)(0.0821)(298) ÷ 3.66
P = 14.3614246 ÷ 3.66
P = 3.923886503 ⇒ 3.92 atm (rounded to 3 decimal places)
The pressure of the NH₃ gas at a temperature of 298 K and a mass of 10.0 g is 3.92 atm.
Hope that helps.
