(20%) Problem l: A helium-filled toy balloon has a gauge pressure of 0.21 atm an

Question

(20%) Problem l: A helium-filled toy balloon has a gauge pressure of 0.21 atm and a volume of 9.5 L. How much greater is the internal energy (in J of the hel um in the balloon than it would be if you released enough air to drop the gauge pressure to zero? Assume the volume of the balloon does not change. U -U Grade Summary Deductions 0% Potential 100 sin0 cotan0 asinacos0 atanOacotan) sinh0 coshO tanho Submissions ttempts remaining Instructor Default % per attempt) detailed view Degrees li Radians 1give up! Submit Hint Hints: % deduction per hint Hints remaining Feedback. D% deduction per feedback. -

Explanation / Answer

V = 9.5 x 10^-3 m^3

Pi = 1 atm + 0.21 atm = 1.21 atm

Pi = 1.21 x 101325 Pa

Pf = 1 + 0 = 1 atm = 101325 Pa

change in internal energy = 3 n R delta(T) / 2

P V = n R T

delta(P) V = n R delta(T)

delta(U) = (9.5 x 10^-3)(0.21 x 101325) (3/2)

= 303.2 J

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