Question

In: Physics

If 2.00 m3 of water at 0∘C is frozen and cooled to -9.0 ∘C by being...

If 2.00 m3 of water at 0∘C is frozen and cooled to -9.0 ∘C by being in contact with a great deal of ice at -9.0 ∘C, estimate the total change in entropy of the process. Delta S =?

Expert Solution

GIVEN:

The volume of water is given by,

The water at is frozen and cooled to

The density of water is

Latent heat of fusion,

Specific heat of ice,

SOLUTION: The ice at frozen and cooled to can be considered as a change in the state of ice to water at and decrease in temperature from .

For the change in state, , Where m is the mass and L is the latent heat of fusion in J/kg

The change in entropy in changing the temperature is given by,

Where m is the mass and C is the specific heat capacity.

The total change is given by,

genius_generous answered 1 year ago

1) A 2.00 g sample of gas occupies 8.40 m3 at 0°C and 101.3 kPa pressure....

1) A 2.00 g sample of gas occupies 8.40 m3 at 0°C and 101.3 kPa pressure. Calculate the volume at 0°C and a pressure of 84.0 kPa. 2) Small amounts of hydrogen are conveniently prepared by reacting zinc with hydrochloric acid. Zn + 2HCl --> ZnCl2 + H2 How many grams of zinc are required to prepare 2.50 L H2(g) at 765 Torr and 22°C?

Table 1: Temperature of Frozen Water Over Time Time (min.) Temperature (°C) Observation 0 -12 Water...

Table 1: Temperature of Frozen Water Over Time Time (min.) Temperature (°C) Observation 0 -12 Water is frozen 5 0 Water is frozen 10 1 Ice is attached to thermometer but unstuck from test tube 15 14 There is a pool of water in the bottom of the test tube 20 2 The pool of water is flightly bigger, ice chunk is getting smaller 25 4 The ice chunk is over halfway melted 30 5 The Ice chunk is over...

Refrigerant R134a is entering a condenser and is being cooled by water. The refrigerant enters the...

Refrigerant R134a is entering a condenser and is being cooled by water. The refrigerant enters the condenser with a mass flow rate of 6 kg/min at 1 MPa and 70 0C and leaves at 35 0C. The cooling water enters at 300 KPa and 15 0C and leaves at 25 0C. Neglecting any pressure drop, determine: The mass flow rate of the cooling water The heat transfer rate from the refrigerant to the water. The rate of entropy production within...

A piece of ice at 0 0C is put in 2.00 Kg of water at 20...

A piece of ice at 0 0C is put in 2.00 Kg of water at 20 0C. The equilibrium temperature of the system becomes 5 0C. (Lf=333 kJ/Kg, cw=4186 J/Kg, TK=TC+273.15) a) Find the mass of ice? Kg b) Find the entropy change of ice? J/K c) Find the entropy change of water? J/K d) Find the total entropy change of sysem? J/K

25.0 g of water cooled 10 C to -20 C. Calculate the total Energy change. With...

25.0 g of water cooled 10 C to -20 C. Calculate the total Energy change. With these useful numbers: ΔH fus = 334 J/g Δvap = 2260 J/g Cp for ice = 2.08 J/g ⁰C Cp for liquid water = 4.18 J/g ⁰C Cp for steam = 1.8 J/g ⁰C

A monatomic ideal gas expands from 2.00 m3 to 2.95 m3 at a constant pressure of...

A monatomic ideal gas expands from 2.00 m3 to 2.95 m3 at a constant pressure of 2.80 ✕ 105 Pa. Find the following. (a) Find the work done on the gas. J (b) Find the thermal energy Q transferred into the gas by heat. J (c) Find the change in the internal energy of the gas. J

1. Water at a flow rate of = 0.25 kg/s is cooled from 70 C to...

1. Water at a flow rate of = 0.25 kg/s is cooled from 70 C to 30 c by passing it through a thick-walled tube of internal diameter of Di =50 mm and an external diameter of D = 60 mm. Hot Water is cooled by blowing cold air at T? = 15 C in cross flow over the tube. Velocity of the air over the tube is 20 m/s. Evaluating the water properties at 325 K from Table A.6...

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...

A large insulated bottle containing 703 mL of water initially at 21.5 degrees C is cooled...

A large insulated bottle containing 703 mL of water initially at 21.5 degrees C is cooled by adding ice at 0 degrees C. Assume the specific heat of liquid water is constant at 4.18 kJkg K (a) If 82 grams of ice is added to the bottle, what will the final temperature be? (Degrees C) (b) How much ice must be added if the desired temperatue is 5.1 degrees C? (grams)

Suppose the market for frozen orange juice is in equilibrium at a price of $2.00 per...

Suppose the market for frozen orange juice is in equilibrium at a price of $2.00 per can and a quantity of 4200 cans per month. Now suppose that at a price of $3.00 per can, quantity demanded falls to 3000 cans per month and quantity supplied increases to 4500 cans per month. Draw the appropriate diagram for this market. Calculate the price elasticity of demand for frozen orange juice between the prices of $2.00 and $3.00. Is the demand elastic...