Question 3.4: In a type of cancer treatment called thermotherapy, temperat...

In a type of cancer treatment called thermotherapy, temperatures as high as 113 °F are used to destroy cancer cells or make them more sensitive to radiation. What is that temperature in degrees Celsius? In kelvins?

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STEP 1   State the given and needed quantities.

ANALYZE THE PROBLEM Given Need Connect
113 °F Tin degrees Celsius, kelvins temperature equations

STEP 2   Write a temperature equation.

\boxed{T_{C} = \frac{T_{F} – 32}{1.8}}        \boxed{T_{K} = T_{C} +273 }

STEP 3   Substitute in the known values and calculate the new temperature.

\boxed{T_{C} = \frac{(113 – 32)}{1.8}}       32 is exact: 1.8 is exact 

            = \overset{Two  SFs}{\underset{Exact}{\frac{81}{1.8} }} =\underset{Two  SFs}{45 °C}

Using the equation that converts degrees Celsius to kelvins, we substinlte in degrees Celsius.

T_{K} = \underset{\underset{place }{Ones}}{ 45} +\underset{\underset{place }{Ones}}{ 273} = \underset{\underset{place }{Ones}}{ 318  K}

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