Question

A 400-lb piece of aluminum at 700°F is dropped into 500 lb of water at 70°F....

A 400-lb piece of aluminum at 700°F is dropped into 500 lb of water at 70°F. What is the final temperature? Show working equation. Answer must be in English units

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

here,

the mass of alumunium piece , m1 = 400 lb = 181.4 kg

the initial temperature of alumunium piece , T1 = 700 F = 371.11 degree C

the mass of water , m2 = 500 lb = 226.8 kg

the initial temperature of water , T2 = 70 F = 21.11 degree C

let the final temperature be Tf

using Principle of Calorimetry

m1 * Ca * ( T1 - Tf) = m2 * Cw * ( Tf - T2)

181.4 * 900 * ( 371.11 - Tf) = 226.8 * 4186 * ( Tf - 21.11)

solving for Tf

Tf = 72.5 degree C = 162.5 F

the equivalent temperature is 162.5 F

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A piece of aluminum (specific heat 0.910kJ/kg 0C) of mass 161g at 74 0C is dropped...
A piece of aluminum (specific heat 0.910kJ/kg 0C) of mass 161g at 74 0C is dropped into a Styrofoam cup filled with 152ml water at 20 0C. What are the final temperatures of the water and the aluminum? Please use C instead of 0C in your answer. Hint 1: because the cup is well-insulated, you can assume that all the heat leaving the aluminum as it cools goes to heating the water. Hint 2: How are the final temperature of...
A 500-g aluminum container holds 300 g of water. The water and aluminum are initially at...
A 500-g aluminum container holds 300 g of water. The water and aluminum are initially at 40∘C. A 200-g iron block at 0∘C is added to the water. Assume the specific heat of iron is 450 J/kg⋅∘C, the specific heat of water 4180 J/kg⋅∘C and the specific heat of aluminum is 900 J/kg⋅∘C . 1Determine the final equilibrium temperature.    2.Determine the change in thermal energy of the aluminum 3.Determine the change in thermal energy of the water. 4. Determine...
A 200 g aluminum calorimeter can contain 500 g of water at 20 C. A 100...
A 200 g aluminum calorimeter can contain 500 g of water at 20 C. A 100 g piece of ice cooled to -20 C is placed in the calorimeter. - Find the final temperature of the system, assuming no heat losses. (Assume that the specific heat of ice is 2.0 kJ/kg K) - A second 200 g piece of ice at -20 C is added. How much ice remains in the system after it reaches equilibrium? - Would your answer...
What did I do wrong? 1) A 44.3 g piece of Aluminum is dropped into a...
What did I do wrong? 1) A 44.3 g piece of Aluminum is dropped into a beaker with 88.2 ml of water. The temperature of the water warms from 35.1 degrees Celsius to 53.7. What quantity of heat energy did the piece of aluminum give off? Specific heat of water = 4.18 J/g*K, the density of water is 1.00 g/mL. I calculated Delta T (18.6) .... Then added mass of water and mass of aluminum (=132.5g).... and q = 4.18...
The aluminum cup inside your calorimeter weighs 40.85 g. You add 49.81 g of water and...
The aluminum cup inside your calorimeter weighs 40.85 g. You add 49.81 g of water and 3.03 g of KCl to the calorimeter. The initial temperature is 20.1oC, and the final temperature is 16.9oC. What is the heat of dissolution for the amounts of salt added, in units of J? Assume that: the calorimeter is completely insulated the heat capacity of the empty calorimeter is the heat capacity of the aluminum cup. the mass of KCl added is small enough...
5. Hot Al in Water A large hot brick of Aluminum (m=2kg, T=630C) is placed in...
5. Hot Al in Water A large hot brick of Aluminum (m=2kg, T=630C) is placed in some water (m=0.75kg, 30C) to cool it. The system comes to equilibrium with no losses to the environment. What will be the final temperature and state of the two substances? (You can find the constants you need in the text on p.5) Part of this problem is to figure out if a phase change occurs or not. For full credit you must show how...
Production Volume (units) Total Cost ($) 400 3500 450 4500 550 4900 600 5400 700 5900...
Production Volume (units) Total Cost ($) 400 3500 450 4500 550 4900 600 5400 700 5900 750 6500 Production Target Est. Cost ($) 500 Compute b1 and b0 (to 1 decimal). b1 _______ b0_________ Complete the estimated regression equation (to 1 decimal). y = ____ +_____ x According to this model, what is the change in cost (in dollars) for every unit produced (to 1 decimal)? _______ Compute the coefficient of determination (to 3 decimals). Note: report r2 between 0...
Production Volume (units) Total Cost ($) 400 4000 450 5000 550 5400 600 5900 700 6400...
Production Volume (units) Total Cost ($) 400 4000 450 5000 550 5400 600 5900 700 6400 750 7000 Production Target Est. Cost ($) 500 Compute b1 and b0 (to 1 decimal). b1 b0 Complete the estimated regression equation (to 1 decimal). y = ... + x According to this model, what is the change in cost (in dollars) for every unit produced (to 1 decimal)? Compute the coefficient of determination (to 3 decimals). Note: report r2 between 0 and 1....
Show working 21) The relationship Q = f(K, L) is an example of a A) cost...
Show working 21) The relationship Q = f(K, L) is an example of a A) cost function. B) production function. C) demand equation. D) profit equation. 28) After some point successive equal increases in a variable factor of production, when added to a fixed amount of inputs, will result in smaller increases in output. This is known as A) the long run. B) the law of diminishing marginal product. C) marginal physical product. D) short run average cost. 33) Suppose...
Show all working and calculations for multiple choice given 5) a) In a cloud formation, water...
Show all working and calculations for multiple choice given 5) a) In a cloud formation, water vapor condenses into water droplets which get bigger and bigger until it rains. This will cause the temperature of the air in the clouds to A) increase. B) decrease. C) stay constant. D) freeze. b) Equal masses of water at 20°C and 80°C are mixed. What is the final temperature of the mixture? A) 40°C B) 50°C C) 60°C D) 70°C c) Which of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT