Use the worked example above to help you solve this problem. A balloon contains

Question

Use the worked example above to help you solve this problem. A balloon contains 5.60 moles of a monatomic ideal gas. As energy is added to the system by heat (say, by absorption from the Sun), the volume increases by 25% at a constant temperature of 24.0 degree C. Find the work W_env done by the gas in expanding the balloon, the thermal energy Q transferred to the gas, and the work W done on the gas. Suppose that subsequent to this heating, 1.60 times 10^4 J of thermal energy is removed from the gas isothermally. Find the final volume in terms of the initial volume of the example, V_0.

Explanation / Answer

(a)

Given that,

n = 5.6 moles

vi = vo

vf = 1.25vo

T = 24 = 297

Work done by the gas,

Wenv = nRT* ln (vf / vi)

Wenv = 5.6*8.314*297*ln (1.25vo / vo)

Wenv = 3.1*10^3 J

Q = 3.1*10^3 J

work done on gas W = -3.1*10^3 J

(b)

For isothermal process,

-Q = nRT * ln(Vf / Vi)

ln(Vf / 1.25Vo) = -Q / nRT

Vf = 1.25Vo / exp(Q / nRT)

by solving this,

Vf = 0.3974*Vo

Answer

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.