Question

chemistry 20
name eltesaam
final exam 2025.
gases
use the following information to answer the next question.
a sample of neon gas is collected in a container. the volume occupied by the gas is
44.8l at 40°c and 2.00 atm of pressure.

1. based on the above conditions, the number of moles of neon gas in the container is

0.270 mol
27.3 mol
0.0344 mol
3.49 mol

Explanation:

Step1: Convert temperature to Kelvin

$T = 40^{\circ}C+273 = 313\ K$

Step2: Use the ideal gas law $PV = nRT$

We know that $P = 2.00\ atm$, $V=44.8\ L$, $R = 0.0821\ L\cdot atm/(mol\cdot K)$ and $T = 313\ K$. Rearranging the ideal gas law for $n$ gives $n=\frac{PV}{RT}$.
Substitute the values: $n=\frac{2.00\ atm\times44.8\ L}{0.0821\ L\cdot atm/(mol\cdot K)\times313\ K}$
First, calculate the numerator: $2.00\times44.8 = 89.6$
Then, calculate the denominator: $0.0821\times313=25.6973$
Now, $n=\frac{89.6}{25.6973}\approx3.49\ mol$

Answer:

3.49 mol