Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Concepts Of Physics MCQ Edition [Volume 2]PhysicsCalorimetry

Determine the time required to heat 20 kg of water from 10^ C to 35^ C using an immersion heater rated at 1000 W . Assume that 80 % of the power input is utilized to heat the water. Specific heat capacity of water = 4200 J kg ⁻¹ K ⁻¹ .

Options

  1. A28 min
  2. B35 min
  3. C43.75 min
  4. D61.25 min

Correct answer

C. 43.75 min

Step-by-step solution

The heat required to raise the temperature of the water is given by: Q = mc T Substituting the given values: Q = 20 4200 (35 - 10) Q = 20 4200 25 = 2100000 J The useful power utilized to heat the water is 80 % of the rated power: P_ useful = 80 100 1000 = 800 W The time t required to heat the water is: t = Q P_ useful = 2100000 800 = 2625 s Converting the time into minutes: t = 2625 60 min = 43.75 min

Practice Calorimetry on Quantrex Academy →

More from Calorimetry

An iron cube (density = 8000 kg m ⁻³ , specific heat capacity = 470 J kg ⁻¹ K ⁻¹ ) is raised to a high temperature and placed upon a large block of ice at 0^ C . The cube melts theA traditional method of cooling drinking water is to keep it in a pitcher having porous walls. Water reaches the outer surface very slowly and evaporates. Most of the energy requirAn iron piece of mass 100 g is placed inside a furnace for a long duration and subsequently dropped into a calorimeter of water equivalent 10 g that contains 240 g of water at 20^ Four 2 cm 2 cm 2 cm cubes of ice are removed from a refrigerator and placed in 200 ml of a drink at 10^ C . Determine the temperature of the drink once thermal equilibrium is reachFour 2 cm 2 cm 2 cm cubes of ice are removed from a refrigerator and placed in 200 ml of a drink at 10^ C . Determine the amount of ice melted, given that the ice cubes do not meltA mass of 1 kg of ice at 0^ C is mixed with 1 kg of steam at 100^ C . Determine the composition of the system once thermal equilibrium is established. The latent heat of fusion of An aluminium vessel of mass 0.5 kg holds 0.2 kg of water at 20^ C . A block of iron of mass 0.2 kg at 100^ C is gently placed into the water. Determine the equilibrium temperature On a winter day, the tap water temperature is 20^ C while the room temperature is 5^ C . Water is stored in a tank of capacity 0.5 m ^3 for household use. If it were possible to ut Full Calorimetry list All Concepts Of Physics MCQ Edition [Volume 2] PYQs