A problem by Ewerton Cassiano

Level pending

What's the value of 104°F in K?


The answer is 313.

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1 solution

Ewerton Cassiano
Dec 23, 2013

θ F 32 9 \frac{\theta{F} -32}{9} = θ C 5 \frac{\theta{C}}{5} is the formula to convert θ F \theta{F} in θ C \theta{C} , but the question asks in Kelvin or θ K \theta{K} , which formula is θ K \theta{K} = θ C \theta{C} + 273 273 ; So, replacing: 104 32 9 \frac{104 -32}{9} = θ C 5 \frac{\theta{C}}{5} ;
72 9 \frac{72}{9} = θ C 5 \frac{\theta{C}}{5} ; 8 8 = θ C 9 \frac{\theta{C}}{9} ; θ C \theta{C} = 40 40 ;

But, the question wants in Kelvin. So: θ K \theta{K} = θ C \theta{C} + 273 273 = θ K \theta{K} = 40 40 + 273 273 = 313 \boxed{313}

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