Convert BTU / second to calorie / second
Learn how to convert
1
BTU / second to
calorie / second
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{BTU}{second}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{calorie}{second}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(watt\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{BTU}{second}\right) = {\color{rgb(89,182,91)} 1055.05585262\left(watt\right)} = {\color{rgb(89,182,91)} 1055.05585262\left(W\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{calorie}{second}\right) = {\color{rgb(125,164,120)} 4.184\left(watt\right)} = {\color{rgb(125,164,120)} 4.184\left(W\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{BTU}{second}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{calorie}{second}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1055.05585262} \times {\color{rgb(89,182,91)} \left(watt\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 4.184}} \times {\color{rgb(125,164,120)} \left(watt\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1055.05585262} \cdot {\color{rgb(89,182,91)} \left(W\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 4.184} \cdot {\color{rgb(125,164,120)} \left(W\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1055.05585262} \cdot {\color{rgb(89,182,91)} \cancel{\left(W\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 4.184} \times {\color{rgb(125,164,120)} \cancel{\left(W\right)}}\)
\(\text{Conversion Equation}\)
\(1055.05585262 = {\color{rgb(20,165,174)} x} \times 4.184\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 4.184 = 1055.05585262\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{4.184}\right)\)
\({\color{rgb(20,165,174)} x} \times 4.184 \times \dfrac{1.0}{4.184} = 1055.05585262 \times \dfrac{1.0}{4.184}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{4.184}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{4.184}}} = 1055.05585262 \times \dfrac{1.0}{4.184}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1055.05585262}{4.184}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx252.16440072\approx2.5216 \times 10^{2}\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{BTU}{second}\right)\approx{\color{rgb(20,165,174)} 2.5216 \times 10^{2}}\left(\dfrac{calorie}{second}\right)\)
