Calculate the mass for:
A gold sample that absorbs 225 J to change its temperature form 15 degrees celsius to 47 degrees celsius.
12
the answer is exactly 12.017562ng
To calculate the mass of the gold sample, we need to use the specific heat formula:
q = mcΔT
Where:
q = heat absorbed or released by the substance
m = mass of the substance
c = specific heat capacity of the substance
ΔT = change in temperature
In this case, we are given the values for heat absorbed (q) and change in temperature (ΔT), and we need to calculate the mass (m). The specific heat capacity of gold is a constant value that we can look up.
Step 1: Determine the specific heat capacity of gold.
The specific heat capacity of gold is 0.129 J/g°C.
Step 2: Plug in the values into the formula.
225 J = m × 0.129 J/g°C × (47°C - 15°C)
Step 3: Simplify the equation.
225 J = m × 0.129 J/g°C × 32°C
Step 4: Divide both sides of the equation by (0.129 J/g°C × 32°C).
225 J / (0.129 J/g°C × 32°C) = m
Step 5: Calculate the mass.
m ≈ 525.58 g
Therefore, the mass of the gold sample is approximately 525.58 grams.