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

Vf = 0.0108 m³

Step-by-step 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 = (1000\ J)/(101325\ Pa)\\\\V_(f) = 0.001\ m^3 + 0.0099\ m^3`

Vf = 0.0108 m³