An 8000-kg aluminium flagpole 100-m long is heated by the sun from a temperature of 10$\degree$C to 20$\degree$C. Find the heat transferred (in J) to the aluminium if the specific heat of aluminium is 0.215 cal/g.$\degree$C.

Question

Quizplus · Accepted Answer

First, we need to convert the mass from kg to g: 
8000 kg = 8,000,000 g

Then, we can use the formula: 
Q = mcΔT 
where Q is the heat transferred, m is the mass, c is the specific heat, and ΔT is the change in temperature.

Substituting the given values: 
Q = (8,000,000 g)(0.215 cal/g•°C)(20°C - 10°C) 
Q = 7.2 x 10^7 cal

But the answer choices are in joules, so we need to convert calories to joules: 
1 cal = 4.184 J

Q = (7.2 x 10^7 cal)(4.184 J/cal) 
Q = 3.01 x 10^8 J

Therefore, the answer is B, 7.2 x 10^7 J.

An 8000-Kg Aluminium Flagpole 100-M Long Is Heated by the Sun