Show that the expression prt has the same units as the pressure, and thus that the ideal gas law is dimensionally consistent.

Answer and Explanation:

We have given the expression

Dimension of

Dimension of R which is gas constant

Dimension of temperature T

And dimension of pressure

Now combine dimension of

So the dimension of  and dimension P is same so there unit will also be same

From ideal gas equation we know that

As the both P and    has same dimension so they are dimensionally constant

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