# Question #b21cc

Apr 26, 2017

$\mathrm{de} n s i t y = 1.95 \frac{g}{L}$

#### Explanation:

Use these 2 formulas:

$P V = n R T$

$m o l s = \frac{g}{m m}$

Note: mm is molar mass

Combine them to get:

$P V = \frac{g}{m m} R T$

Since you are trying to solve for g/L, rearrange the formula:

$\frac{g}{V} = \frac{P \cdot m m}{R T}$

$\frac{g}{V} = \frac{\left(3.00 a t m\right) \cdot \left(16.04 \frac{g}{m o l}\right)}{\left(0.08206 \frac{L \cdot a t m}{K \cdot m o l}\right) \left(301 K\right)}$

$\frac{g}{V} = 1.948173405$

Since you only have 3 sig figs, the answer would be:

$\mathrm{de} n s i t y = 1.95 \frac{g}{L}$