Advertisements
Advertisements
Question
Water falls from a height of 50 m. Calculate the rise in the temperature of water when it strikes the bottom.
(g = 10 ms-2; Specific heat capacity of water = 4200 J / kg°C)
Advertisements
Solution
If the whole of the energy due to the fall of water changes into heat energy, and 0°C be the rice in the temperature of water, then
mgh = ms θ°
Or m × 10 × 50 = m × 4200 × θ°
Or θ°, i.e. rise in temperature of water = `("m" xx 10 xx 50)/("m" xx 4200) = 5/42 ^circ "C"`
= 0.119 ° C = 0.12 ° C.
RELATED QUESTIONS
A mass m1 of a substance of specific heat capacity c1 at temperature t1 is mixed with a mass m2 of other substance of specific heat capacity c2 at a lower temperature t2. Deduce the expression for the temperature t of the mixture. State the assumption made, if any.
Figure shows a paddle wheel coupled to a mass of 12 kg through fixed frictionless pulleys. The paddle is immersed in a liquid of heat capacity 4200 J K−1 kept in an adiabatic container. Consider a time interval in which the 12 kg block falls slowly through 70 cm. (a) How much heat is given to the liquid? (b) How much work is done on the liquid? (c) Calculate the rise in the temperature of the liquid neglecting the heat capacity of the container and the paddle.
650 J of heat is required to raise the temp. of 0.25 kg of lead from 15°C to 35°C. Calculate the Sp. heat capacity of lead.
Explain, Why is it advisabile to pour cold water over burns, caused on human body, by hot solids?
Calculate the amount of heat released when 5.0 g of water at 20°C is changed into ice at 0°C.
(Specific heat capacity of water = 4.2 J/g°C
Specific latent heat of fusion of ice = 336 J/g)
Numerical Problem.
What is the heat in joules required to raise the temperature of 25 grams of water from 0°C to 100°C? What is the heat in Calories? (Specific heat of water = `(4.18"J")/("g"°"C")`
Which of the substances P, Q, or R has the lowest specific heat? The temperature v/s time graph is shown ______.
The value of 'γ' for a gas is given as `gamma = 1 + 2/"f"`, where 'f ' is the number of degrees of freedom of freedom of a molecule of a gas. What is the ratio of `gamma_"monoatonic"//gamma_"diatomic"`?
Diatomic gas consists of rigid gas molecules
Two metals A and B have specific heat capacities in the ratio 2:3. If they are supplied same amount of heat then
If the mass ratio of metal A and metal B is 3:5 then calculate the ratio in which their temperatures rise.
Which method is used to determine the specific heat capacity of both solids and liquids by mixing a substance of unknown specific heat with water?
