Question

What is an isochoric process? (1 mark) b) Can heat be exchanged in an isochoric process? (1 mark) c) A 100L container holding an ideal gas at an initial pressure of 10MPa is raised to a pressure of 15MPa. How much work is done?

Answer 1

Step-by-step explanation:

(a) An isochoric process is defined as the process in which volume of a system remains constant.

For example, an air conditioner follows an isochoric process.

(b) As pressure and temperature can change in an isochoric process but volume will remain the same.

Hence, heat can also be exchanged in an isochoric process. Whereas in an adiabatic process heat remains 0. Therefore, it means the in adiabatic process there occurs no exchange of heat between the system and its surrounding.

(c) It is given that V = 100 L = 0.1
`m^(3)` (as 1 L = 0.001
`m^(3)`)

`P_(1)` =
`10 * 10^(6) Pa`

`P_(2)` =
`15 * 10^(6) Pa`

Relation between work, pressure and volume is as follows.

W =
`\Delta PV`

= PdV + VdP

= 0 + 0.1
`m^(3) (15 - 10) * 10^(6)`

(Since V = constant so, dV = 0)

=
`5 * 10^(5) J`

Thus, we can conclude that work done is
`5 * 10^(5) J`.