Question

A balloon has a volume of 6.7L at 20 celsius. What will its volume be at 350 celsius if it is at constant pressure?

Answer 1

Solution :

Volume of balloon
`\sf (V_1 )` = 6.7 L

Temperature
`\sf (T_1 )`= 20 celsius (converting into kelvin) = 20 + 273 = 293 K

Now,

`\sf (T_2 )` = 350 celsius

= 350 + 273 = 623 K

Since pressure is constant.

According to Charles law, At constant pressure the volume of the gas is directly proportional to temperature.

`\: \: { \boxed{ \sf{ \pink{(V_1)/(V_2) = (T_1)/(T_2)}}}}`

We have to find
`\sf (V_2 )`

On putting the values in above formula,,

`\sf (6.7)/(V_2) = (293)/(623) \\ \\ \sf V_2 = (6.7 * 623)/(293) \\ \\ \sf V_2 = (4174.1)/(293) \\ \\ \sf V_2 = 14.24`

Therefore, Volume of the balloon will be 14.24 L at 350 celsius.