MathMaster logo

MathMaster

  1. Home
  2. general
  3. calculate the number of btu s required to change 645 lbs of ice at 25 degrees to 645 lbs of steam at 295 degrees
Question

Calculate the number of BTU's required to change 645 lbs of ice at 25 degrees to 645 lbs of steam at 295 degrees

238

likes
1189 views

Answer to a math question Calculate the number of BTU's required to change 645 lbs of ice at 25 degrees to 645 lbs of steam at 295 degrees

Expert avatar
Dexter
4.7
113 Answers
To calculate the total BTUs required for this change, we need to consider the following steps: 1. **Heating the ice from 25°F to 32°F (melting point):** * Specific heat of ice: 0.49 BTU/lb°F * Temperature change: 32°F - 25°F = 7°F * Heat required: 645 lbs * 0.49 BTU/lb°F * 7°F = 2221.05 BTU 2. **Melting the ice at 32°F:** * Latent heat of fusion of ice: 144 BTU/lb * Heat required: 645 lbs * 144 BTU/lb = 92880 BTU 3. **Heating the water from 32°F to 212°F (boiling point):** * Specific heat of water: 1 BTU/lb°F * Temperature change: 212°F - 32°F = 180°F * Heat required: 645 lbs * 1 BTU/lb°F * 180°F = 116100 BTU 4. **Vaporizing the water at 212°F:** * Latent heat of vaporization of water: 970 BTU/lb * Heat required: 645 lbs * 970 BTU/lb = 625650 BTU 5. **Heating the steam from 212°F to 295°F:** * Specific heat of steam: 0.48 BTU/lb°F (approximate value) * Temperature change: 295°F - 212°F = 83°F * Heat required: 645 lbs * 0.48 BTU/lb°F * 83°F = 25581.6 BTU **Total Heat Required:** Add up the heat required in each step: 2221.05 BTU + 92880 BTU + 116100 BTU + 625650 BTU + 25581.6 BTU = 862432.65 BTU **Therefore, approximately 862,433 BTUs are required to change 645 lbs of ice at 25°F to 645 lbs of steam at 295°F.**

Frequently asked questions (FAQs)
Question: What is the maximum value of the function f(x) = x^2 - 4x + 5 in the interval [0, 6]?
+
Find the maximum value of the sine function between 0 and 2π.
+
What is the median of a set of numbers: 5, 8, 10, 12, 17, 20, 20, 23, 25, 26?
+
New questions in Mathematics
Find the equation of the normal to the curve y=x²+4x-3 at point(1,2)
Derivative of x squared
Determine the momentum of a 20 kg body traveling at 20 m/s.
Divide 22 by 5 solve it by array and an area model
(-5/6)-(-5/4)
If f(x,y)=6xy^2+3y^3 find (∫3,-2) f(x,y)dx.
Convert 78 percent to a decimal
How many square feet of floor area are there in three two-storey apartment houses, each of which is 38 feet wide and 76 feet long?
89, ÷ 10
Solve the following equation for x in exact form and then find the value to the nearest hundredths (make sure to show your work): 5e3x – 3 = 25
Engineers want to design seats in commercial aircraft so that they are wide enough to fit ​95% of all males.​ (Accommodating 100% of males would require very wide seats that would be much too​ expensive.) Men have hip breadths that are normally distributed with a mean of 14.4 in. and a standard deviation of 1.2 in. Find P95. That​ is, find the hip breadth for men that separates the smallest ​95% from the largest 5​%.
Convert 5/9 to a decimal
TEST 123123+1236ttttt
2)A tourist has 15 pairs of pants in his hotel room closet. Suppose 5 are blue and the rest are black. The tourist leaves his room twice a day. He takes a pair of pants and puts them on, the tourist leaves the first pair of pants in the closet again and takes another one and puts them on. What is the probability that the two pants chosen are black?
-1%2F2x-4%3D18
2.380× (1+0.05) / 0.95−0.05
To find the increased amount on a standard term deposit with the following conditions: starting amount: BGN 13000, type of deposit: annual, annual compound interest rate: 1.4%, after 4 years;
At the end of a lively discussion within your study group, your class neighbor, for the relevance of your points of view, asks your opinion on the subject of their debate which is the following question Am I the slave of my unconscious? Solve the problem posed by this subject in an argumentative production.
A post office has three categories of letters: 60% are from businesses, 30% are individual mail, and the remaining 10% are government mail. 5% of the letters from businesses have address errors, 10% of the individual mail has address errors, while 1% of the government mail has address errors. If we receive a letter with an address error, what is the probability that it is individual mail?"
Find the rule that connects the first number to the second number of each pair. Apply the rule to find the missing number in the third pair. (18 is to 22) (54 is to 26) (9 is to ?)

You might be interested in