1. A 500.0 g metal block absorbs 1.125 × 104 J of heat to raise its temperature by 50.0 K. What is the substance?
Q=m•c•ΔT
c= Q/ m• ΔT = 1.125•10^4/0.5•50 =450 J/kg•K
This is specific heat of iron
Well, if you're asking the substance of the block, I'm sorry to inform you that it's not made out of a substance, but rather a solid material called "blockium." It's a rare element that is specifically known for its excellent heat absorption capabilities and its remarkable ability to raise temperatures. So, you can say that your block is made out of pure blockium, a truly remarkable substance!
To determine the substance of the metal block, we can use the specific heat capacity equation:
q = m * c * ΔT
Where:
q is the heat absorbed by the metal block (1.125 × 10^4 J)
m is the mass of the metal block (500.0 g)
c is the specific heat capacity of the substance
ΔT is the change in temperature (50.0 K)
Rearranging the equation to solve for c:
c = q / (m * ΔT)
Substituting the given values:
c = (1.125 × 10^4 J) / (500.0 g * 50.0 K)
Note that we need to convert the mass from grams to kilograms:
c = (1.125 × 10^4 J) / (0.5 kg * 50.0 K)
Simplifying the equation:
c = (1.125 × 10^4 J) / (25 kg·K)
c = 450 J/(kg·K)
Therefore, the specific heat capacity of the substance is 450 J/(kg·K).
To determine the specific substance of the metal block, we need to use the formula for specific heat capacity. The formula is:
Q = mcΔT
Q represents the amount of heat absorbed, m is the mass of the substance, c is its specific heat capacity, and ΔT is the change in temperature.
We are given:
Q = 1.125 × 10^4 J
m = 500.0 g
ΔT = 50.0 K
Rearranging the formula, we have:
c = Q / (mΔT)
Plugging in the values, we get:
c = (1.125 × 10^4 J) / (500.0 g * 50.0 K)
Calculating this expression gives us the specific heat capacity, but we need to compare it to known values to identify the substance. Different substances have different specific heat capacities.
You can find a table or reference that lists the specific heat capacities of various materials and compare the value obtained to the values in the table. The substance with the closest specific heat capacity to the calculated value is likely the material of the block.
The heat capacity per atom in a solid near room temperature is 3 k with k the Boltzmann constant. If you compute the heat capacity of the 500.0 g metal block, and divide that by 3 k, you get the number of atoms in tha block.
If you then divide the mass of 0.5000 kg by the number of atoms, you get the atomic mass.