Q. 95.0( 1 Vote )

On a winter day the temperature of the tap water is 20°C whereas the room temperature is 5°C. Water is stored in a tank of capacity 0.5 m3 for household use. If it were possible to use the heat liberated by the water to lift a 10 kg mass vertically, how high can it be lifted as the water comes to the room temperature? Take g = 10 m s–2.

Answer :


Given:


Temperature of tap water=20C


Room temp=5C


Volume of tank=0.5m3


Mass to lift=10kg


Formula used:


ΔQ=MCΔT


ΔQ=heat exchange


ΔT=tempeature change


M=mass


C=heat capacity


Heat liberated by water =work done to lift


0.5× 1000× 4200× (20-5)=10× 10× height


Height=315000m=315km


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Heat and work are equivalent. This means,

HC Verma - Concepts of Physics Part 2

If heat is supplied to a solid, its temperature.

HC Verma - Concepts of Physics Part 2