Name: Macroscopic and Microscopic Variables
Uploaded: 2019-07-19
Duration: 5 min 3 s
Description: This video enables students to understand the definition and examples of the macroscopic and microscopic variables of the thermodynamic system.

Question

Explain in detail the isochoric process.

Accepted Answer

A thermodynamic process in which the volume of the system is kept constant.But pressure, temperature and internal energy continue to be variables. The pressure-volume graph for an isochoric process is a vertical line parallel to pressure axis as shown in Figure.

The equation of state for an isochoric process is given by

The equation of state for an isochoric process is given by
$P = (\frac{μR}{V}) T (Where \frac{μR}{V} = constant)$

We can infer that the pressure is directly proportional to temperature. This implies that the P-T graph for an isochoric process is a straight line passing through origin. If a gas goes from state $(P_{i}, T_{i}) to (P_{f}, T_{f})$ at constant volume, then the system satisfies the following equation

$\frac{P_{i}}{T_{f}} = \frac{P_{i}}{T_{f}}$

For an isochoric processes, $∆ V = 0 and W = 0$ , Then the first law becomes

$∆ U = Q$
So, the heat supplied is used to increase only the internal energy. As a result the temperature increases and pressure also increases.

Food is cooked by closing with a lid is example of isochoric process.

Explain in detail the isochoric process.

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