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How-much-sweat-must-evaporate-from-the-surface-of-150kg-of-human-body-to-be-able-to-cool-the-human-by-2-C-assume-C-3-35J-g-K-for-human-and-L-2-5mJ-kg-for-water-at-body-temperature-




Question Number 42261 by Necxx last updated on 21/Aug/18
How much sweat must evaporate  from the surface of 150kg of human  body to be able to cool the human  by 2°C.(assume C=3.35J/g/K for  human and L=2.5mJ/kg for  water at body temperature)
$${How}\:{much}\:{sweat}\:{must}\:{evaporate} \\ $$$${from}\:{the}\:{surface}\:{of}\:\mathrm{150}{kg}\:{of}\:{human} \\ $$$${body}\:{to}\:{be}\:{able}\:{to}\:{cool}\:{the}\:{human} \\ $$$${by}\:\mathrm{2}°{C}.\left({assume}\:{C}=\mathrm{3}.\mathrm{35}{J}/{g}/{K}\:{for}\right. \\ $$$${human}\:{and}\:{L}=\mathrm{2}.\mathrm{5}{mJ}/{kg}\:{for} \\ $$$$\left.{water}\:{at}\:{body}\:{temperature}\right) \\ $$
Commented by Necxx last updated on 21/Aug/18
please help
$${please}\:{help} \\ $$
Answered by tanmay.chaudhury50@gmail.com last updated on 21/Aug/18
dm  gramme sweat    150×3.35×1000×2=dm×2.5×10^6   dm=((150×3.35×1000×2)/(2.5×10^6 ))kg  dm=((150×3.35×2)/(2.5))×10^(−3) kg  =402×10^(−3) kg=402 gm  plscheck
$${dm}\:\:{gramme}\:{sweat} \\ $$$$ \\ $$$$\mathrm{150}×\mathrm{3}.\mathrm{35}×\mathrm{1000}×\mathrm{2}={dm}×\mathrm{2}.\mathrm{5}×\mathrm{10}^{\mathrm{6}} \\ $$$${dm}=\frac{\mathrm{150}×\mathrm{3}.\mathrm{35}×\mathrm{1000}×\mathrm{2}}{\mathrm{2}.\mathrm{5}×\mathrm{10}^{\mathrm{6}} }{kg} \\ $$$${dm}=\frac{\mathrm{150}×\mathrm{3}.\mathrm{35}×\mathrm{2}}{\mathrm{2}.\mathrm{5}}×\mathrm{10}^{−\mathrm{3}} {kg} \\ $$$$=\mathrm{402}×\mathrm{10}^{−\mathrm{3}} {kg}=\mathrm{402}\:{gm} \\ $$$${plscheck} \\ $$
Commented by Necxx last updated on 21/Aug/18
Yes boss.It′s correct.Thank you sir.
$${Yes}\:{boss}.{It}'{s}\:{correct}.{Thank}\:{you}\:{sir}. \\ $$

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