Calculate the energy required to heat 827 g of mercury from 37 ◦C to 42 ◦C. The specific heat capacity of Hg(§¤) is 0.138 J/g ¡¤◦ C.
Answer in units of calories
See you post on steam to ice.
To calculate the energy required to heat a substance, you can use the formula:
Energy (E) = mass (m) x specific heat capacity (C) x temperature change (ΔT)
Given:
mass (m) = 827 g
specific heat capacity (C) = 0.138 J/g · ◦C
temperature change (ΔT) = 42 ◦C - 37 ◦C = 5 ◦C
Now, let's substitute these values into the formula and calculate the energy:
E = 827 g x 0.138 J/g · ◦C x 5 ◦C
E = 570.786 J
Since the answer needs to be in calories, we need to convert Joules (J) to calories (cal). The conversion factor is 1 cal = 4.184 J.
Therefore, the energy required to heat 827 g of mercury from 37 ◦C to 42 ◦C is:
E = 570.786 J ÷ 4.184 cal/J
E ≈ 136.51 cal
So, the energy required is approximately 136.51 calories.