Determine the density of $\mathrm { NH } _ { 3 }$ gas at 435 K and 1.00 bar.
A)2.10 g $\mathrm { L } ^ { - 1 }$
B)0.471 g $\mathrm { L } ^ { - 1 }$
C)0.321 g $\mathrm { L } ^ { - 1 }$
D)2.24 g $\mathrm { L } ^ { - 1 }$
E)0.851 g $\mathrm { L } ^ { - 1 }$

Question

Quizplus · Accepted Answer

The density, $\rho$, of a gas is given by the equation:
$$\rho = \frac{P M}{R T}$$

where P is the pressure, M is the molar mass of the gas, R is the ideal gas constant, and T is the temperature.

First, we need to calculate the molar mass, M, of NH3:
$$M_{\rm NH_3} = 14.01 + 3(1.01) = 17.04 \mathrm{g/mol}$$

Next, we can plug in the given values:
$$P = 1.00\mathrm{bar}$$ 
$$T = 435\mathrm{K}$$ 
$$R = 0.08314\mathrm{L\cdot bar\cdot K^{-1}\cdot mol^{-1}}$$ 
$$M = 17.04\mathrm{g/mol}$$

$$\rho = \frac{1.00 \mathrm{bar} \cdot 17.04 \mathrm{g/mol}}{0.08314 \mathrm{L\cdot bar\cdot K^{-1}\cdot mol^{-1}} \cdot 435\mathrm{K}}$$

$$\rho = 0.471\mathrm{g/L}$$

Therefore, the answer is B.

Determine the Density Of NH3\mathrm { NH } _ { 3 }NH3​

Determine the Density Of $\mathrm { NH } _ { 3 }$