Question

How much heat must be added to a gas that does 10 J of work in an isothermal process?

Answer 1

10 J

Step-by-step explanation:

Using the idea of the first law of thermodynamics to answer this question.

The first law of thermodynamics simply restates energy conservation: Energy is not created nor is it destroyed it is simply transformed into other forms of energy. It can be stated in the following formula,

`\boxed{\left\begin{array}{ccc}\text{\underline{The First Law of Thermodynamics:}}\\\\\Delta E_(int.)=Q-W_(by)\end{array}\right}`

In a isothermal process the change in internal energy is equal to zero. So plug in what we know.

`\Longrightarrow \Delta E_(int.)=Q-W_(by)\\\\\Longrightarrow 0=Q-10\\\\\Longrightarrow \boxed{Q=10 \ J}`

Thus, 10 J of heat must be added to the gas.