Apiece of iron (mass = 25.0 g) at 398 k is placed in a styrofoam coffee cup containing 25.0 ml of water at 298 k. assuming that no

Apiece of iron (mass = 25.0 g) at 398 k is placed in a styrofoam coffee cup containing 25.0 ml of water at 298 k. assuming that no heat is lost to the cup or the surroundings, what will the final temperature of the water be? the specific heat capacity of iron = 0.449 j/gâ°c and water = 4.18 j/gâ°c. a piece of iron (mass = 25.0 g) at 398 k is placed in a styrofoam coffee cup containing 25.0 ml of water at 298 k. assuming that no heat is lost to the cup or the surroundings, what will the final temperature of the water be? the specific heat capacity of iron = 0.449 j/gâ°c and water = 4.18 j/gâ°c. 308 k 348 k 325 k 388 k 287 k

Answers

The final temperature of the water is the equilibrium temperature, or the also the final temperature of the iron after a long period of time. Applying the conservation of energy:

m,iron*C,iron*ΔT = - m,water*C,water*ΔT

The density of water is 1000 g/mL.

(25 g)(0.449 J/g·°C)(T - 398 K) = - (25 mL)(1000 g/mL)(4.18 J/g·°C)(T - 298)
Solving for T,
T = 298.01 K

Note: iron mass = 25 g

         water mass = 25 mL

         C iron = 0.449 J / g · ° C

         C water = 4.18 J / g · ° C

         ΔT iron = 398 K

         ΔT water = 298 K

         Water density = 1000 g / mL

Asked: T?

          Using the formula:

          => m, iron x C, iron x Δ T = - m, water x C, water x Δ T

          => 25 g) (0.449 J / g · ° C) (T - 398 K) = - (25 mL) (1000 g / mL) (4.18 J / g · ° C) (T - 298 K)

          => T = 298K

So, the final temperature of water is 298 K

Further Explanation

The Black Principle is a principle in thermodynamics put forward by Joseph Black. This principle sets out:

If two different objects whose temperature is mixed, a hot object gives heat to a cold object so that the final temperature is the same The amount of heat absorbed by cold objects is equal to the amount of heat released by hot objects The refrigerated object releases the same heat as the heat absorbed when heated

The sound of the Black Principle is as follows:

"In mixing two substances, the quantity of heat released by a substance whose temperature is higher is that the identical due to the quantity of heat received by a substance whose temperature is lower"

Thermodynamics is the physics of energy, heat, work, entropy and the spontaneous process. Thermodynamics is closely related to statistical mechanics where the thermodynamic relationship originates. In systems where the process of change of form or energy exchange occurs, classical thermodynamics is not related to the kinetics of the reaction (the speed of a reaction process takes place). Therefore, the use of the term "thermodynamics" usually refers to equilibrium thermodynamics, which is the main concept of a quasi-static process, which is idealized. Meanwhile, time-dependent thermodynamics is non-equilibrium thermodynamics. Because thermodynamics is not related to the concept of time, it has been proposed that equilibrium thermodynamics should be called thermostatic. The law of thermodynamics is very general truth, and these laws do not depend on the details of the interactions or systems under study. This means they can be applied to systems where one knows nothing except the balance of the transfer of energy and existence between them and the environment. Examples include Einstein's estimates of spontaneous emission in the 20th century and current research on the thermodynamics of black bodies.

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definition of The Black Principle

definition of Thermodynamics

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Grade: College

Subject: Chemistry

keywords: The Black Principle

This is the final temperature of water = 398 K

Explanation:

Mass of iron m_{iron} = 25 gm

Initial temperature of iron T_{iron} = 398 K

Mass of coffee cup m_{c} = 25 ml = 25 gm

Temperature of coffee cup T_{c}  = 298 K

Specific heat of iron C_{iron} = 0.449 frac{J}{g c}

Specific heat of water C_{water} = 4.18 frac{J}{g c}

From the energy balance principal,

Heat lost by the iron = heat gain by the coffee cup

m_{iron} × C_{iron}  × (T_{iron} - T_{f}  ) = m_{c} × C_{cof} × (T_{f} - T_{c}  )

⇒ 25 × 0.449 × (398 - T_{f} ) = 25 × 4.18 ×  ( T_{f} - 398 )

⇒ 0.449 × (398 - T_{f} ) =  4.18 ×  ( T_{f} - 398 )

⇒ 398 - T_{f} = 9.3  ( T_{f} - 398 )

398 - T_{f} = 9.3 T_{f} - 3701.4

⇒ 10.3 T_{f} = 4099.4

T_{f} = 398 K

This is the final temperature of water.

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