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</o:shapelayout></xml><![endif]--></head><body lang=EN-US link=blue vlink=purple><div class=WordSection1><p class=MsoPlainText>The thermal capacity of water is not a constant. At 1 atmosphere pressure a good correlation is <o:p></o:p></p><p class=MsoPlainText><img width=350 height=10 id="Picture_x0020_1" src="cid:image002.jpg@01D0FB5A.E9128D80" alt="C_p(T)={4.214-2.286\times10^{-3}T+4.991\times10^{-5}T^2-4.519\times10^{-7}T^3+1.857\times10^{-9}T^4}"><o:p></o:p></p><p class=MsoPlainText><a href="https://syeilendrapramuditya.wordpress.com/2011/08/20/water-thermodynamic-properties/">https://syeilendrapramuditya.wordpress.com/2011/08/20/water-thermodynamic-properties/</a><o:p></o:p></p><p class=MsoPlainText>which, of course, you have to integrate over the delta T to get the effective value. <o:p></o:p></p><p class=MsoPlainText> <img border=0 width=499 height=301 id="Picture_x0020_2" src="cid:image001.gif@01D0FB5B.1DFD7550" alt="https://syeilendrapramuditya.files.wordpress.com/2011/08/water_specific_heat_capacity_vs_temperature.gif?w=540&h=330"><o:p></o:p></p><p class=MsoPlainText>The thermal capacity is less sensitive to pressure over the range you are concerned about – the change to 1500m altitude will affect the 3rd decimal place in value calculated at constant pressure.<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Hope that helps<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>Prof Philip Lloyd</span><o:p></o:p></p><p class=MsoNormal><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>Energy Institute</span><o:p></o:p></p><p class=MsoNormal><span style='font-size:10.0pt;font-family:"Arial","sans-serif"'>Cape Peninsula University of Technology</span><o:p></o:p></p><p class=MsoNormal><span lang=EN-ZA style='font-size:10.0pt;font-family:"Arial","sans-serif"'>PO Box 1906<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-ZA style='font-size:10.0pt;font-family:"Arial","sans-serif"'>Bellville 7535<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-ZA style='font-size:10.0pt;font-family:"Arial","sans-serif"'>Tel: 021 959 4323<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-ZA style='font-size:10.0pt;font-family:"Arial","sans-serif"'>Fax: 086 778 0257<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-ZA style='font-size:10.0pt;font-family:"Arial","sans-serif"'>Cell: 083 441 5247<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-ZA style='font-size:10.0pt;font-family:"Arial","sans-serif"'>PA: Nadia 021 959 4330<o:p></o:p></span></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>-----Original Message-----<br>From: Stoves [mailto:stoves-bounces@lists.bioenergylists.org] On Behalf Of Frank Shields<br>Sent: 30 September 2015 05:17<br>To: Discussion of biomass cooking stoves<br>Subject: [Stoves] Question regarding calculations<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Greetings Stovers, <o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Wanting to know if it takes less energy to keep water boiling at 80 deg. C at 1500 meters than at sea level?<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Also; It take 4.186 j/g/deg.C to raise water from 20c to 80c at sea level. But is it the same at 1500 meters? or is it less than 4.186?<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Thanks for any understanding help<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Frank<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Frank Shields<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>_______________________________________________<o:p></o:p></p><p class=MsoPlainText>Stoves mailing list<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>to Send a Message to the list, use the email address <a href="mailto:stoves@lists.bioenergylists.org"><span style='color:windowtext;text-decoration:none'>stoves@lists.bioenergylists.org</span></a><o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>to UNSUBSCRIBE or Change your List Settings use the web page <a href="http://lists.bioenergylists.org/mailman/listinfo/stoves_lists.bioenergylists.org"><span style='color:windowtext;text-decoration:none'>http://lists.bioenergylists.org/mailman/listinfo/stoves_lists.bioenergylists.org</span></a><o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>for more Biomass Cooking Stoves, News and Information see our web site:<o:p></o:p></p><p class=MsoPlainText><a href="http://stoves.bioenergylists.org/"><span style='color:windowtext;text-decoration:none'>http://stoves.bioenergylists.org/</span></a><o:p></o:p></p></div></body></html>