You are calculating the heating load for a 1,800 sq ft home in Grand Rapids, Michigan. The design temperature difference is 75°F, and the overall heat loss coefficient is 0.45 BTU/hr/sq ft/°F. What is the estimated heating load?
Correct Answer
D) 60,750 BTU/hr
Heating load = Area × Heat loss coefficient × Temperature difference = 1,800 × 0.45 × 75 = 60,750 BTU/hr.
Why This Is the Correct Answer
The heating load formula is: Load = Area × Heat loss coefficient × Temperature difference = 1,800 sq ft × 0.45 BTU/hr/sq ft/°F × 75°F = 60,750 BTU/hr. This is a straightforward application of the simplified heating load equation.
Why the Other Options Are Wrong
Option A: 52,200 BTU/hr
52,200 BTU/hr results from using an incorrect temperature difference or coefficient. It does not match any valid combination of the given values in the formula.
Option B: 67,500 BTU/hr
67,500 BTU/hr would result from using 0.50 as the coefficient instead of the stated 0.45, or from multiplying 1,800 × 75 × 0.50. The problem specifies 0.45, not 0.50.
Option C: 48,600 BTU/hr
48,600 BTU/hr results from computing 1,800 × 0.45 × 60 — using 60°F as the temperature difference instead of the stated 75°F. This is a common arithmetic error when misreading the problem.
Memory Technique
The heating load formula: 'Area × Coefficient × Delta-T = BTU/hr.' Remember A-C-D for Area, Coefficient, Delta-T. In this problem: 1800 × 0.45 × 75 = 60,750. Check your work by estimating: 1800 × 0.45 ≈ 810, and 810 × 75 = 60,750.
More Michigan Questions
A residential foundation wall in Michigan is 8 feet high with 2 feet above grade. The backfill exerts lateral pressure of 30 psf per foot of depth. What is the maximum lateral pressure at the bottom of the foundation wall?
A builder discovers that the electrical service entrance was installed without proper permits. According to Michigan law, what is the most appropriate next step?
What is the maximum allowable span for a 2x8 floor joist (Grade 2 Douglas Fir) at 16" O.C. with 40 psf live load and 10 psf dead load according to Michigan Building Code span tables?
According to Michigan Building Code, what is the maximum height of a wood-framed bearing wall using 2x4 studs with standard construction?
A homeowner requests to convert a bedroom into a bathroom on the second floor. What is the primary Michigan code concern the builder must address?
According to Michigan plumbing regulations, what is the minimum pipe size required for a water service line serving a single-family residence?
A contractor is building a basement foundation wall that is 8 feet high and will retain 6 feet of soil. What is the minimum wall thickness required by the Michigan Building Code for poured concrete?
A homeowner wants to install a gas fireplace in their living room. The contractor notices the existing gas line is 1/2 inch black iron pipe. For a 40,000 BTU fireplace with a 25-foot run, is this pipe size adequate according to Michigan gas code?
During a framing inspection, the building official notes that the contractor used 2x4 studs at 24 inches on center for an exterior wall. According to Michigan Building Code, what is the maximum wall height allowed for this configuration?
A contractor is installing a beam to support floor joists. The beam must carry a total load of 8,000 pounds over a 12-foot span. If the allowable fiber stress for the lumber grade is 1,200 psi, what is the minimum required section modulus?
People Also Study
Business & Financial Management
120 questions · 70% to pass
Contract Administration
60 questions · 70% to pass
Project Management
60 questions · 70% to pass
Related Study Resources
Previous Question
A builder is constructing a deck attachment to an existing home. The deck will be 12 feet wide and 16 feet long. What is the minimum number of 1/2-inch lag bolts required to attach the ledger board to the house?
Next Question
You are building a single-family home in Grand Rapids. The homeowner wants to install a 200-amp electrical service. According to Michigan electrical requirements, what size copper service entrance conductors are typically required?