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Convert 39.5 degrees Celsius to Fahrenheit and Kelvin.

Physics

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2 parts
a

103.1∘F103.1^\circ F

b

312.65 K312.65\, K

Step-by-step solution

4 steps

Here's how to convert the patient's body temperature.

Given temperature: TC=39.5∘CT_C = 39.5^\circ C

Part a· 2 steps

Convert to Fahrenheit (∘F^\circ F)

  1. Use the conversion formula from Celsius to Fahrenheit.

    TF=95TC+32T_F = \frac{9}{5}T_C + 32
  2. Substitute the given Celsius temperature into the formula.

    TF=95(39.5)+32T_F = \frac{9}{5}(39.5) + 32 TF=9×7.9+32T_F = 9 \times 7.9 + 32 TF=71.1+32T_F = 71.1 + 32 TF=103.1T_F = 103.1

    The temperature in Fahrenheit is 103.1∘F\boxed{103.1^\circ F}.

Part b

312.65 K312.65\, K

Convert to Kelvin (KK)

  1. Use the conversion formula from Celsius to Kelvin.

    TK=TC+273.15T_K = T_C + 273.15
  2. Substitute the given Celsius temperature into the formula.

    TK=39.5+273.15T_K = 39.5 + 273.15 TK=312.65T_K = 312.65

    The temperature in Kelvin is 312.65 K\boxed{312.65\, K}.

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