Explanation:
We know equation for power
[tex]\texttt{Power = }\frac{\texttt{Work}}{\texttt{Time}}[/tex]
Here we need to find time when for a 22 kW steam engine to do 5.6 × 10⁷ J of work.
So
Work = 5.6 × 10⁷ J
Power = 22 kW = 22 x 10³ W
Substituting
[tex]\texttt{Power = }\frac{\texttt{Work}}{\texttt{Time}}\\\\22\times 10^3=\frac{5.6\times 10^7}{\texttt{Time}}\\\\\texttt{Time}=2545.45s[/tex]
Time needed is 2545.45 seconds.