# What is the pressure exerted by 43 mol of nitrogen in a 65 L cylinder at 5°C?

Jun 11, 2016

Approx. $15 \cdot a t m$

#### Explanation:

We use the Ideal Gas equation:

$P = \frac{n R T}{V}$ $=$ $\frac{43 \cdot m o l \times 0.0821 \cdot L \cdot a t m \cdot {K}^{-} 1 \cdot m o {l}^{-} 1 \times 278 K}{65 \cdot L}$ $\cong$ $15 \cdot a t m$

Do the units cancel to give units of $\text{atmospheres}$? If they don't then I have made a mistake. The only pitfall in this question, is the requirement to use absolute temperature.

$\text{Degrees Kelvin}$ $=$ $\text{^@"Celsius} + 273$