Question

A sample of methane gas is collected at 285 K and cooled to 245 K. At 245 K the volume of the gas is 75.0 L. Calculate the volume of the methane gas at 285 K. Assume constant pressure

Answer 1

V₂ = 87.24 L

Step-by-step explanation:

Charle's law states that at constant pressure, the volume of the gas is directly proportional to the temperature. Its mathematical form is given by :

`(V_1)/(T_1)=(V_2)/(T_2)`

We have, V₁ = 75, T₁ = 245 K, T₂ = 285, V₂ = ?

Putting all the values, we get :

`V_2=(V_1T_2)/(T_1)\\\\V_2=(75* 285)/(245)\\\\V_2=87.24\ L`

So, the new volume is 87.24 L.