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

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7 votes

Answer:


308.70\text{ mL}

Step-by-step 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:


(V_1)/(T_1)\text{ = }(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} (250)/(298.15)\text{ = }(V_2)/(368.15) \\ \\ V_2\text{ = }(368.15*250)/(298.15) \\ \\ V_2\text{ = 308.70 mL} \end{gathered}

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