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Chapter 19: Problem 24

How much energy becomes unavailable for work in an isothermal process at \(440 \mathrm{K},\) if the entropy increase is \(25 \mathrm{J} / \mathrm{K} ?\)

Short Answer

Expert verified
The energy that becomes unavailable for work during this isothermal process is 11000 J

Step by step solution

01

Understand the required formula

In a thermodynamic process, the energy that becomes unavailable for work during an isothermal process is calculated by multiplying the temperature \(T\) (in Kelvin) and the increase in entropy \(螖S\) (in Joules/Kelvin). \n\nSo the formula is: \n\nWasted Energy = \(T 脳 螖S\)
02

Substituting the given values

Substitute the given values into the formula. The given values are: \n\nTemperature \(T\) = 440 K \n\nIncrease in entropy \(螖S\) = 25 J/K \n\nTherefore, \n\nWasted Energy = \(440 K 脳 25 J/K\)
03

Calculate the unavailable energy

Next, calculate the multiplication of the values, which results in: \n\nWasted Energy = 11000 J

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