Question

J dm-3

is this equal to pascal??

Answer 1

Derived units are defined as products of powers of the base units. Some of the coherent derived units in the SI are given special names and symbols.

The joule (unit symbol: J
) and the pascal (unit symbol: Pa

) are such coherent derived units.

Expressed in terms of SI base units, one joule is

1 J=1 kg m2s2

and one pascal is

1 Pa=1 kgm s2

(see: BIPM: The International System of Units (SI))

Hence,

1 Jm3=1 kg m2s2m3=1 kg m2m3 s2=1 kgm s2=1 Pa

SI prefixes may be used in forming the decimal multiples and submultiples of units. Note that, when SI prefixes are used with SI units, the resulting units are no longer coherent, because a prefix effectively introduces a numerical factor.

1 m1 m31m31 Jm31 Pa1000 Pa=10 dm=1000 dm3=11000 dm3=0.001 1dm3=0.001 Jdm3=0.001 Jdm3=1 Jdm3

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