Question

show that the product of pressure and voloume has the dimension of energy​

Answer 1

Answer:

$Pressure=\frac{force}{area} \\\\Volume = (length)^{3}$

therefore, dimensional formula of

• Pressure = [ML⁻¹T⁻²]
• Volume   = [M⁰L³T⁰]

Pressure × volume gives [ML²T⁻²]

Energy's dimensional formula = [ML²T⁻²]

We can see that both are same. Hence proved.

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