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Question
modeling real life the formula ( k = c + 273.15 ) co temperatures from celsius ( c ) to kelvin ( k ).
a. convert 200 degrees celsius to kelvin.
( 200^{circ}c=square k )
b. solve the formula for ( c ).
( c=square )
c. convert 300 kelvin to celsius. write your answer using decimals.
( 300k=square^{circ}c )
Step1: Convert Celsius to Kelvin
Given the formula \(K = C + 273.15\). For part a, substitute \(C = 200\) into the formula:
\(K=200 + 273.15\)
\(K = 473.15\)
Step2: Solve the formula for \(C\)
Starting with \(K = C+273.15\), use the subtraction property of equality. Subtract \(273.15\) from both sides:
\(C=K - 273.15\)
Step3: Convert Kelvin to Celsius
For part c, use the formula \(C = K - 273.15\). Substitute \(K = 300\) into the formula:
\(C=300 - 273.15\)
\(C = 26.85\)
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a. \(473.15\)
b. \(K - 273.15\)
c. \(26.85\)