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Interchange between units in this case those of force, pressure and distance and an insight to dimensional analysis

Using "dimensional analysis" show that 1 L kPa = 1 J. Hints : P= F/A; 1 Pa = 1 N/m^2; energy = F x d

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the best way to solve this problem is by deviding it to 2 parts and taking each side of the equation alone.
lets start with 1L Kpa... we know that Pa=1N/m^2 we also know that a L is also a dm^3 which means we can say that 1L KPa= ...