Answer to Question #245011 in Physics for Diane

Question

A water heater is operated by direct solar power. If the solar collector has an area of 12m², and if the intensity delivered by sunlight is 620W/m², how long does it take to increase the temperature of 1.8m³ of water from 21°C to 46°C? Take the water specific heat capacity to be 4186 J/(^oC kg). Take the density of water to be 1g/cm³ . State your answer in minutes to the nearest minute. Do not enter the units.

Answer 1

$AP=Q/t\to Q=APt$

$Q=cm(t_2-t_1)=c\rho V(t_2-t_1)$

$APt=c\rho V(t_2-t_1)\to t=c\rho V(t_2-t_1)/(AP)=4186\cdot1000\cdot1.8\cdot(46-21)/(12\cdot620)=$

$=2532\ (s)=42.2\ (min)$ . Answer