January 18, 2021, 10:53:48 AM
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### Topic: In a gas temp-pressure prob, are K units flexible such that 1/(315. K)=(1/315)K?  (Read 2438 times)

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#### Quantainne

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##### In a gas temp-pressure prob, are K units flexible such that 1/(315. K)=(1/315)K?
« on: March 14, 2009, 11:29:53 PM »

This seems to mean that when a formula such as the gas constant has the unit K, its handling is strict as is usually the case, and can’t be eliminated until it’s validly canceled.

Though in the Clausius equation, the K unit that's an element of 1/T has more latitude: if T is for example 315. K, the expression 1/T is calling for the inverse of 315, not strictly 'the inverse of 315. K'. That frees the K unit from being frozen in the denominator, and it's considered free-standing to the extent that once the fraction is simplified to a decimal, the K 're-attaches' to the right as the numeral's unit, as though it had been in the numerator.

Is that your understanding of it?

#### Yggdrasil

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##### Re: In a gas temp-pressure prob, are K units flexible such that 1/(315. K)=(1/315)K?
« Reply #1 on: March 15, 2009, 12:48:05 AM »
Your step c is the correct way of handling the units.  The author was just being sloppy with his units.