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Solved: Calculate the internal energy of a Goodyear blimp
Chapter 6, Problem 130P(choose chapter or problem)
Calculate the internal energy of a Goodyear blimp filled with helium gas at \(1.2 \times 10^{5}\ \mathrm{Pa}\). The volume of the blimp is \(5.5 \times 10^{3}\ \mathrm{m}^{3}\). If all the energy were used to heat 10.0 tons of copper at \(21^{\circ} \mathrm{C}\), calculate the final temperature of the metal. (Hint: See Section 5.7 for help in calculating the internal energy of a gas. \(1 \text { ton }=9.072 \times 10^{5}\ \mathrm{g}\).)
Questions & Answers
QUESTION:
Calculate the internal energy of a Goodyear blimp filled with helium gas at \(1.2 \times 10^{5}\ \mathrm{Pa}\). The volume of the blimp is \(5.5 \times 10^{3}\ \mathrm{m}^{3}\). If all the energy were used to heat 10.0 tons of copper at \(21^{\circ} \mathrm{C}\), calculate the final temperature of the metal. (Hint: See Section 5.7 for help in calculating the internal energy of a gas. \(1 \text { ton }=9.072 \times 10^{5}\ \mathrm{g}\).)
ANSWER:Step 1 of 3
Given data:
Pressure of helium gas:
The volume of the blimp:
The expression for internal energy can be represented as follows:
Where,
n = number of moles
R = gas constant
T = temperature
The following relation is known to us
PV = nRT
Where,
P = pressure
V = volume
n = number of moles
R = gas constant
T = temperature