Question

A 2 L balloon filled with gas is warmed from 280 K to 700 K. What is the volume of the gas after it is heated?

Answer 1

New volume, v2 = 0.8L

Step-by-step explanation:

Given the following data;

Original Volume = 2L

Original Temperature = 280K

New Temperature = 700K

To find new volume V2, we would use Charles' law.

Charles states that when the pressure of an ideal gas is kept constant, the volume of the gas is directly proportional to the absolute temperature of the gas.

Mathematically, Charles is given by;

`VT = K`

`(V1)/(T1) = (V2)/(T2)`

`(V1)/(T1) = (V2)/(T2)`

Making V2 as the subject formula, we have;

`V_(2)= (V1)/(T1) * T_(2)`

`V_(2)= (2)/(700) * 280`

`V_(2)= 0.0029 * 280`

V2 = 0.8L

Therefore, the volume of the gas after it is heated is 0.8L.