An 80-kg patient has the flu and his temperature increases from 37°C to 39°C: c = 3 470 J / (kgK). How much extra heat do the chemical reactions in his cells have to generate to cause this temperature change? (6 x 105 J)

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Chemistry

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7 October, 11:46

An 80-kg patient has the flu and his temperature increases from 37°C to 39°C: c = 3 470 J / (kgK). How much extra heat do the chemical reactions in his cells have to generate to cause this temperature change? (6 x 105 J)

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Answers (1)

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Ariella Potter · Answer 1

Q = 555200 J

Explanation:

Q = mcΔT

∴ mass (m) = 80 kg

∴ c = 3470 J/Kg. K

∴ T1 = 37°C ≅ 310 K

∴ T2 = 39°C ≅ 312 K

⇒ ΔT = T2 - T1 = 312 K - 310 K = 2 K

⇒ Q = (80 Kg) * (3470 J/Kg. K) * (2 K)

⇒ Q = 555200 J ≅ 600000 J ≅ 6 E5 J