Question

In: Physics

It is well known that water freezes at 0°C at atmospheric pressure. The mixture of liquid water and ice at 0°C is said to be

It is well known that water freezes at 0°C at atmospheric pressure. The mixture of liquid water and ice at 0°C is said to be at stable equilibrium since it cannot undergo any changes when it is isolated from its surroundings. However, when water is free of impurities and the inner surfaces of the container are smooth, the temperature of water can be lowered to 22°C or even lower without any formation of ice at atmospheric pressure. But at that state even a small disturbance can initiate the formation of ice abruptly, and the water temperature stabilizes at 0°C following this sudden change. The water at 22°C is said to be in a metastable state. Write an essay on metastable states and discuss how they differ from stable equilibrium states.

 

 

Solutions

Expert Solution

Generally a metastable state is defined from the exited state of an atom, nucleus that have longer lifetime than ordinary exited state and that generally have shorter lifetime than the lowest..

 

Therefore a metastable state is considered to be a kind of stable intermediate stage of system of energy which is lost in discrete amounts...

 

Metastable state often loose their stored energy by collision with other atoms before they radiate it .

 

In a criteria a meta stable state looses its nuclei by reasons radioactive decay by gamma radiation etc..

 

Now in a water state system coming from above example as water being in metastable state is super cooling, when liquid water remains liqiud when cooled below the freezing point.

 

As a pure liquid reaches its metastable equilibrium state with its substrated water across an appropriate membrane..

 

The stability is depicted in figure as well.

 

HOW METASTABLE STATE DIFFER FROM STABLE EQIULIBRIUM STATES

To know the difference first know the definitions of equilibrium and stable equilibrium state..

as equilibrium states having only two constraints have the lowest energy for a given conditions..

which are stable equilibrium states...

whereas equilibrium states having more than two constraints are called as meta stable equilibrium state..


whereas equilibrium states having more than two constraints are called as meta stable equilibrium state..

Related Solutions

100 g of solid ice at 0°C is added to 500 g of liquid water at...
100 g of solid ice at 0°C is added to 500 g of liquid water at 90°C. What is the final temperature? What is initial water temperature is required so that 10 g of ice remain once equilibrium has been reached?
Ice at −14.0 °C and steam at 142 °C are brought together at atmospheric pressure in...
Ice at −14.0 °C and steam at 142 °C are brought together at atmospheric pressure in a perfectly insulated container. After thermal equilibrium is reached, the liquid phase at 50.0 °C is present. Ignoring the container and the equilibrium vapor pressure of the liquid, find the ratio of the mass of steam to the mass of ice. The specific heat capacity of steam is 2020 J/(kg.C°).
Water changes between solid phase (as ice) and liquid phase at 0℃. and between liquid phase and gas phase (as water vapor) at 100 ℃.
  Water changes between solid phase (as ice) and liquid phase at 0℃. and between liquid phase and gas phase (as water vapor) at 100 ℃. Write a program to accept a temperature front keyboard, and display the corresponding water phase (solid, liquid or gas) under that temperature.
Ice cubes at 0 c are poured into a glass that contains 150 g of liquid...
Ice cubes at 0 c are poured into a glass that contains 150 g of liquid water at 20 c. The contents of the glass are gently stirred and after short time the ice melts and the liquid cools to 0 c. No appreciable heat exchange with the environment takes place. a) calculate the entropy change of the universe (system plus environment) during the process. Cp=Cv = 4.18 kj/kgK b)if the same process were performed reversibly, how much useful work...
A vessel initially contains 5.0 kg of liquid water and 2.0 kg of ice at 0...
A vessel initially contains 5.0 kg of liquid water and 2.0 kg of ice at 0 C. Energy is added until the ice has just melted. The temperature at the boundary where heat transfer occurs is taken to be the system temperature during the process. The enthalpy of melting ice is 333.5 kJ/kg. Consider the following processes used to melt the ice. a.) Heat is added to from the environment at 20 C. Determine the entropy flux and the total...
A mixture of saturated liquid water and saturated steam at T = 120 °C has a...
A mixture of saturated liquid water and saturated steam at T = 120 °C has a specific enthalpy of 2000 kJ⁄kg. What is the quality of this mixture? if you could show how to do it, that'd be great.
5. A 100.0 g sample of ice at 0?C is added to 150.0 mL of liquid...
5. A 100.0 g sample of ice at 0?C is added to 150.0 mL of liquid water at 80.0?C in a styrofoam cup calorimeter. (The specific heat capacity of water is 4.184 J/g•?C, the density of water is 1.00 g/mL, and ?H?fus = 6.01 kJ/mol) a) Does all of the ice melt? (Show your work to receive credit!) b) What is the final temperature once thermal equilibrium is established? c) How much ice remains once thermal equilibrium is established?
A pipe is carrying liquid at 60 degrees C, that fluctuates in pressure from 0 to...
A pipe is carrying liquid at 60 degrees C, that fluctuates in pressure from 0 to 60,000 kPa (non-capped). The inside diameter of the pipe is 20 mm and the wall thickness is 1 mm and is made out of 1095 carbon steel, has a yield strength of 813 MPa and an ultimate tensile strength of 1260 MPa. Using the "Modified-Goodman" failure criteria and a reliability factor of 99%, determine the number of cycles till failure on the inside wall....
A mixture containing 21.4g of ice (at 0.0 degrees C) and 75.3 g of water (55.3...
A mixture containing 21.4g of ice (at 0.0 degrees C) and 75.3 g of water (55.3 degrees C) is placed in an insulated container. Assuming no loss of heat to the surroundings, what is the final temp of the mixture ?
26. The surface water, ground water, ice and atmospheric water vapor make up the earth’s ______________________________________....
26. The surface water, ground water, ice and atmospheric water vapor make up the earth’s ______________________________________. 27. Bacteria that convert nitrates into nitrogen gas, thus allowing it to re-enter the atmosphere, in the process of _________________. a. Ammonification b. Nitrification c. Denitrification 28. Eutrophication carries excess _______________________ and _____________________ from fertilizer run-off into waterways, with deleterious results. a. Nitrogen and carbon b. Nitrogen and phosphorus c. Carbon and phosphorus d. Sulfur and nitrogen 29. The element found in ALL organic...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT