Question

Question 1-3

A balloon with a volume of 2.50 L is left in a car at 323K. After sitting in the sun, the temperature increases to 398K. What is the volume
of the heated balloon?

Answer 1

`\huge{\boxed{3.08 \: L}}`

Step-by-step explanation:

The volume of the heated balloon can be found by using the Charles' law formula which is;

`\bold{(V_1)/(T_1) = (V_2)/(T_2)} \\`

where

T1 is the initial temperature

T2 is the final temperature

V1 is the initial volume

V2 is the final volume

From the question

T1 = 323K

T2 = 398K

V1 = 2.5 L V2 = ?

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

`V_2 = (2.5 * 398)/(323) = (995)/(323) \\ = 3.0804`

We have the final answer as

3.08 L