Question

Which of the following statements are true for an isothermal process?Check all that apply.

- During an isothermal process, the work done by the gas equals the heat added to the gas.
- During an isothermal process, the internal energy of the system changes.
- An isothermal process is carried out at constant temperature.
- An isothermal process is carried out at constant pressure.
- An isothermal process is carried out at constant volume.

Answer 1

From first law of thermodynamics we know that

here we know that

also in isothermal process know that temperature will remain same through out the process

so we will have

so here we have

or we can say

so from first law of thermodynamics we can say

So here correct answers are

-During an isothermal process, the work done by the gas equals the heat added to the gas.

- An isothermal process is carried out at constant temperature.

Step-by-step explanation:

Answer 2

From first law of thermodynamics we know that

`Q = \Delta U + W`

here we know that

`\Delta U = nC_v\Delta T`

also in isothermal process know that temperature will remain same through out the process

so we will have

`\Delta T = 0`

so here we have

`\Delta U = 0`

or we can say

`U_i = U_f`

so from first law of thermodynamics we can say

`Q = W`

So here correct answers are

-During an isothermal process, the work done by the gas equals the heat added to the gas.

- An isothermal process is carried out at constant temperature.