Question

A gas has a volume of 543 ml. at a temperature of 75.0°C. What volume will the gas occupy at 20.2°C?

Answer 1

Answer:

V₂ = 457.49 mL

Explanation:

Given that,

Initial volume, $V_1=543\ mL$

Initial temperature, $T_1=75^{\circ} C=75+273=348\ K$

Final temperature, $T_2=20.2^{\circ} C=20.2+273=293.2\ K$

We need to find the final volume of the gas. The relation between the volume and the temperature of the gas is given by :

$\dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}$

Put the respected values,

$V_2=\dfrac{V_1T_2}{T_1}\\\\V_2=\dfrac{543\times 293.2}{348}\\\\V_2=457.49\ mL$

So, the final volume of the gas is equal to 457.49 mL.