Calculate the mass in grams for a gold sample that absorbs 245J to change its temperature from 19 degrees to 49 degrees
To calculate the mass of the gold sample, we need to use the specific heat capacity equation:
q = m * c * ΔT
where:
q is the energy absorbed or released by the substance (in this case, 245J)
m is the mass of the substance (in grams)
c is the specific heat capacity of the substance (for gold, it is 0.129 J/g°C)
ΔT is the change in temperature (49°C - 19°C = 30°C)
First, let's rearrange the equation to isolate the mass (m):
m = q / (c * ΔT)
Now, we can substitute the given values into the equation:
m = 245 J / (0.129 J/g°C * 30°C)
m ≈ 633.72 g
Therefore, the mass of the gold sample is approximately 633.72 grams.