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Date:         Sat, 4 Aug 2007 21:40:53 -0700
Reply-To:     Alistair Bell <albell@UVIC.CA>
Sender:       Vanagon Mailing List <vanagon@gerry.vanagon.com>
From:         Alistair Bell <albell@UVIC.CA>
Subject:      Re: Comments wanted on this portable fridge
Comments: To: Pensioner <al_knoll@PACBELL.NET>
In-Reply-To:  <HHEAJIOMDPBGGCKHACGJMEAFCNAA.al_knoll@pacbell.net>
Content-Type: text/plain; charset=US-ASCII; delsp=yes; format=flowed

back of envelope calculations to original question...

On 8/4/07, Mark Drillock <mdrillock@cox.net> wrote:

> > OK, students on the list, snap quiz time. How much mass in one cubic > foot of air at sea level and 50% humidity? How much energy does it > take > to raise or lower that mass by 40 degrees F? > > Mark > too old to remember how to figure this out > >

air weighs approx .0755 pounds per cubic foot at sea level at 60 or so degrees F.

at same temp, 50% saturation would be approx 7 grams or water per kg of air.

converting to same unit, 0.755 pounds is about 0.034 kg, so at 50% sat, one cubic foot of water holds (very approx) (0.034 * 7.0 g), or, 0.238 g of water.

1 calorie is amount of energy needed to raise one gram of water by on degree C. to raise 1 gram 40 degrees F (very approx 22 C) would take 22 Cal. To raise 0.238 g water same amount would take (0.238*22) = 5 cal.

all this is VERY approx estimations, forgive me if i have dropped any decimal points. Bottom line is that there is not much water in t he 1 cubic foot of air at 50% sat, really inconsequential compared to the amount of beer in the fridge.

Alistair

On 4-Aug-07, at 8:36 PM, Pensioner wrote:

Normalizing to 1cu ft is left as an exercise for the interested. Curves for the specific heat of one cc of air at various temperatures and RH values exist. So to figure out how many btus it takes to change the mass of air one degree either way (same value) becomes a plug and play exercise. If it takes n BTU to raise one cc of air at 50% rh and 50f one degree f, determined from the curve values then some multiplication to scale up to one cubic foot will yield the number N btus required to raise that mass one degree from 50F. A similar scaling not likely linear will allow a calculation of the heat required to be removed or added from the thermal mass to change it's temperature T degrees F. QED? No, you can't easily add with a Post Versalog but you can do the rest to within 1 RCH or so for three significant digits worth. The adding will require the rest of your significant digits.


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