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

V₂ = 252 cm³

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`

`(V_1)/(T_1)=(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=(V_1T_2)/(T_1)\\\\V_2=(192* 147)/(112)\\\\V_2=252\ cm^3`

So, the new temperature is 252 cm³.