Question

Using charles’ law: A sample of nitrogen occupies a volume of 250 mL at 25°C. What volume will it occupy at 95°C?

Answer 1

Answer:

$308.70\text{ mL}$

Explanation:

Here, we want to calculate the final volume of the gas sample

From Charles' law, we know that volume and temperature are directly proportional at a pressure

Mathematically, we have that as:

$\frac{V_1}{T_1}\text{ = }\frac{V_2}{T_2}$

From the question, we have the following values given:

V1 = 250 mL

V2 = ?

T1 = 25°C

We convert this to Kelvin by adding 273.15

That is 25 + 273.15 = 298.15 K

T2 = 95°C

We convert this to Kelvin by adding 273.15

That is 95 + 273.15 = 368.15 K

Substituting the values, we have it that:

$\begin{gathered} \frac{250}{298.15}\text{ = }\frac{V_2}{368.15} \\ \\ V_2\text{ = }\frac{368.15\times250}{298.15} \\ \\ V_2\text{ = 308.70 mL} \end{gathered}$