Question

A student heats up a 2.5-g gold block (cs = 0.13 J/g-K) from 13.5 oC to...

A student heats up a 2.5-g gold block (cs = 0.13 J/g-K) from 13.5 oC to 22.8 oC.

a. What is the heat capacity of this gold block?

b. What is the molar heat capacity of gold?

c. How many joules are required to heat this gold block from 13.5 oC to 22.8 oC?

d. If this gold block is submerged into 50 mL of water (cs = 4.18 J/g°-K) at 50 oC after it reaches 22.8 oC, indicate the direction of heat transfer and determine the final temperature of the water and the gold block. (Hint: the final temperature of the water is the same as that of the gold block.)

Homework Answers

Answer #1

(c) Q= mcsT (m- mass of gold block, cs - specific heat capacity, T- Temp. change)

= 2.5 g 0.13 J/g-k 9.3 K = 3.0225 J

(a) Heat capacity C = Q/ T = 3.0225 J/ 9.3K = 0.325 J/K

(b)Molar heat capacity of gold = 0.13 197 = 25.61 J/mol-K

(d) The direction of heat transfer is from water to gold block. initial temp of water= 323K. let the final temp TK. According to calorimetric principle:

mwater C water (323K- T) = m gold C gold (T-295.8)

or, 50 4.18 (323-K) = 2.5 0.13 (T-295.8)

or, 209.325 T = 67603.135 K

or, T = 322.95 K or 49.95 deg centrigade.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Problem 5.54 A 100.0-g bar of gold is heated from 25 ∘C to 50 ∘C during...
Problem 5.54 A 100.0-g bar of gold is heated from 25 ∘C to 50 ∘C during which it absorbs 322 J of heat. Assume the volume of the gold bar remains constant. Part A Based on the data, calculate the specific heat of Au(s). Express your answer to two significant figures and include the appropriate units. Cs = 0.13 J⋅(g⋅∘C)−1 SubmitMy AnswersGive Up All attempts used; correct answer displayed Part B Suppose that the same amount of heat is added...
The specific heat capacity of liquid water is 4.18 J/g-K. How many joules of heat are...
The specific heat capacity of liquid water is 4.18 J/g-K. How many joules of heat are released when the temperature of 9.00 g of water decreases from 34.2 °C to 45.5 °C?
A 60.0 g aluminum block, initially at 55.00 °C, is submerged into an unknown mass of...
A 60.0 g aluminum block, initially at 55.00 °C, is submerged into an unknown mass of water at 293.15 K in an insulated container. The final temperature of the mixture upon reaching thermal equilibrium is 25.00 °C. What is the approximate mass of the water? The specific heat of water is 4.18 J/g . °C. The specific heat of aluminum is 0.897 J/g . °C.
A 10.5 g block of iron metal (Cs= 0.449 J/g⁰C) at 55°C is submerged in 7.50...
A 10.5 g block of iron metal (Cs= 0.449 J/g⁰C) at 55°C is submerged in 7.50 mL water (Cs = 4.184 J/g⁰C) initially at 25°C (density of water is 1.00 g/mL). What is the final temperature of the iron and water? -[(10.5 g)(0.449 J/(g℃))(Tf - 55℃)] = (7.50 g)(4.184J/(g℃))(Tf - 25℃) Tf = 29 ℃ I understand how to set the problem up but do not understand how to isolate Tf by itself? Can someone show me the steps that...
1.) A volume of 36.7 mL of H2O is initially at 28.0 oC. A chilled glass...
1.) A volume of 36.7 mL of H2O is initially at 28.0 oC. A chilled glass marble weighing 4.00 g with a heat capacity of 3.52 J/oC is placed in the water. If the final temperature of the system is 26.4  oC , what was the initial temperature of the marble? Water has a density of 1.00 g/mL and a specific heat of 4.18 J/goC. Enter your answer numerically, to three significant figures and in terms of oC. 2.) A 2.24...
A 2.50-kg block of hot iron (cFe = 0.45 J/g K; Tin = 300. oC) is...
A 2.50-kg block of hot iron (cFe = 0.45 J/g K; Tin = 300. oC) is dropped in cold water (Tin = 20 oC) to cool quickly. 1) how much heat needs to be absorbed to cool the iron block to 25 oC? A) 309 J B) 309 kJ C) 618 J D) 618 kJ E) None of the above 2) How much cold water will be needed? A) 14.8 g B) 14.8 kg C) 14.8 m3 D) 14,800 L...
200 g of hot gold at 120.0oC (cs= 0. 131 J g−1 K−1) is placed in...
200 g of hot gold at 120.0oC (cs= 0. 131 J g−1 K−1) is placed in a thermally insulated container that has 25.0 g of water in it at 10.0oC (cs= 4. 186 J g−1 K−1). a) What is ∆SAu? [-6.64 J K−1] b) What is ∆SH2O? Now carefully consider what the system is and what the surroundings are and answer these questions. c) Is the process reversible? d) Calculate the value of ∆Suni and show that it confirms your...
A coffee-cup calorimeter contains 130.0 g of water at 25.3 ∘C . A 124.0-g block of...
A coffee-cup calorimeter contains 130.0 g of water at 25.3 ∘C . A 124.0-g block of copper metal is heated to 100.4 ∘C by putting it in a beaker of boiling water. The specific heat of Cu(s) is 0.385 J/g⋅K . The Cu is added to the calorimeter, and after a time the contents of the cup reach a constant temperature of 30.3 ∘C . Part A Determine the amount of heat, in J , lost by the copper block....
A 26.5-g aluminum block is warmed to 65.2 ∘Cand plunged into an insulated beaker containing 55.2...
A 26.5-g aluminum block is warmed to 65.2 ∘Cand plunged into an insulated beaker containing 55.2 g of water initially at 22.2 ∘C. The aluminum and the water are allowed to come to thermal equilibrium. (Cs,H2O=4.18 J/g⋅∘C, Cs,Al=0.903J/g⋅∘C)​ Assuming that no heat is lost, what is the final temperature of the water and aluminum?​
a 25.0g piece of aluminum (molar heat capacity of 24.03 J/g degrees Celsius) is heated to...
a 25.0g piece of aluminum (molar heat capacity of 24.03 J/g degrees Celsius) is heated to 82.4 degrees Celsius and dropped into a calorimeter containing water (specific heat capacity of water is 4.18 J/g degrees Celsius) initially at 22.3 degrees Celsius. The final temperature of the water is 24.98 degrees Celsius. Calculate the mass of water in the calorimeter.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT