Question

show that the product of Pressure and volume, PV has the dimension of energy​

Answer 1

Answer:

energy

Explanation:

The Product PV has dimensions

ForceArea×Volume

= Force x Length

= Work

= Energy

Answer 2

The prove is given below .

We need to show that the product of volume and pressure is equal to dimension of energy .

So , PV

Units of pressure is  $\dfrac{F}{m^2}$ .

Units of volume is $m^3$ .

So , units of their product is :

$F\ m$ .

Now , energy is product of force and distance .

Therefore , its units is also F m .

Hence , proved .

Therefore , this is the required solution .

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Units And Measurement

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