Question

PLEASE HELP ME WITH THIS ONE QUESTION
1000 J of energy is given to a balloon via a heating device. Assuming the pressure is a constant 101,325 Pa, what is the final volume of the balloon, assuming it started at 0.001 m3?

Answer 1

Answer:

Vf = 0.0108 m³

Explanation:

Assuming there is no change in internal energy, we can calculate the changed volume by the following formula:

$Energy\ Supplied = Work = W = P \Delta V \\W = P(V_{f}-V_{i})$

where,

W = Work = Energy Supplied = 1000 J

P = Pressure = 101325 Pa

Vf = Final Volume = ?

Vi = Initial Volume = 0.001 m³

Therefore,

$1000\ J = (101325\ Pa)(V_{f}-0.001\ m^3)\\\\V_{f}-0.001\ m^3 = \frac{1000\ J}{101325\ Pa}\\\\V_{f} = 0.001\ m^3 + 0.0099\ m^3$

Vf = 0.0108 m³