Question

According to​ Charles's law, if the pressure is held​ constant, the volume of a gas varies directly with the temperature measured on the Kelvin scale. If the volume of a gas is 192 cubic centimeters when the temperature is 112 ​K, find the volume when the temperature is 147 K.

Answer 1

Answer:

V₂ = 252 cm³

Step-by-step explanation:

Charles's law = If the pressure is held​ constant, the volume of a gas varies directly with the temperature measured on the Kelvin scale.

Mathematically, $V=kT$

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

We have, V₁ = 192 cm³, T₁ = 112 K, T₂ = 147 cm³, V₂ = ?

Using the above relation of Charles's law :

$V_2=\dfrac{V_1T_2}{T_1}\\\\V_2=\dfrac{192\times 147}{112}\\\\V_2=252\ cm^3$

So, the new temperature is 252 cm³.