For an incompressible fluid does density vary with temperature and pressure?a)It varies for all temperature and pressure rangeb)It remains constantc)It varies only for lower values of temperature and pressured)It varies only for higher values of temperature and pressureCorrect answer is option 'A'. Can you explain this answer?

Question

Accepted Answer

For an incompressible fluid, the change in density is negligible. Thus it does not change with temperature and pressure.

Answer

Introduction:
For fluids, density is the measure of mass per unit volume. The density of a fluid depends on various factors such as temperature, pressure, and the chemical composition of the fluid. In this question, we need to determine whether the density of an incompressible fluid varies with temperature and pressure or not.

Answer:
The correct answer is option 'A', which states that the density of an incompressible fluid varies for all temperature and pressure range. This is because, although an incompressible fluid does not change in volume under the application of pressure, the density of the fluid changes due to the change in temperature.

Explanation:
Incompressible fluids are those fluids that do not change in volume when pressure is applied. This means that the density of the fluid remains constant under the application of pressure. However, the density of an incompressible fluid does change with temperature. This is because the volume of the fluid changes with temperature.

When the temperature of a fluid increases, the volume of the fluid also increases, which means that the same mass of fluid now occupies more space. This results in a decrease in the density of the fluid. Similarly, when the temperature of a fluid decreases, the volume of the fluid also decreases, which means that the same mass of fluid now occupies less space. This results in an increase in the density of the fluid.

The relationship between the density of a fluid and temperature is given by the coefficient of thermal expansion, which varies for different fluids. Therefore, the density of an incompressible fluid varies with temperature and pressure, and it is essential to consider these factors while studying the behavior of fluids.

Conclusion:
In conclusion, the density of an incompressible fluid varies with temperature and pressure. Although the volume of the fluid does not change under the application of pressure, the density changes due to the change in temperature. Therefore, it is crucial to consider both temperature and pressure while studying the behavior of fluids.

Answer

According to question,it has been asked for an incompressible fluid, so the density remains unchanged wrt temp. and pressure

Answer

For incompressible fluid density does not vary w.r.to temp and pressure

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