A man takes a brick out of the fire when it's at 285 degree Celsius, he drops it in a bucket of water. then covers the bucket. the bucket and cover are made of an insulating material. the bucket contains 2.6 kg of ice originally at -5 degree celsius. the 1.3 kg brick is made of iron .which has a specific heat of 448J/kg degree celsius. lets find out the temperature of brick and water once equilibrium is reached. specific heats of ice , liquid water, steam are 2090,4186,1970 respectively

The equilibrium temperature of brick and water is 2.82 Kelvin

Explanation:

Initial Temperature Ø of the brick = 285 degree Celsius

Initial temperature of ice = - 5 degree Celsius

Mass of iron = 1.3kg

Specific heat capacity c of iron = 448J/kg

In thermal experiments,

Heat lost = heat gain.

Let's first calculate the heat lost

The brick will loose heat.

H =mcØ

Heat lost = 1.3 × 448 × (285 - T)

Heat lost = 582.4( 285 - T )

Now let's calculate for heat gain

Heat gain = mcØ + mcØ + mcØ

Heat gain = [(2.6×2090) + (2.6×4186) + (2.6×1970)](T - -5)

Heat gain = 5434 + 10883.6 + 5122(T+5)

Heat gain = 21439.6( T + 5)

Equating the heat lost and the heat gain leads to

582.4( 285 - T) = 21439.6(T+5)

Open both bracket

165984 - 582.4T = 21439.6T + 107198

Collect the like terms

21439.6T - 582.4T = 165984 - 107198

20857.2T = 58786

T = 58786/20857.2

T = 2.82 Kelvins

The equilibrium temperature of brick and water is 2.82 Kelvin

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.

at right angles to each other