<h3>
Answer:</h3>
165.078 g
<h3>
Explanation:</h3>
<u>We are given;</u>
- Specific heat capacity of nickel as 0.446 J/g°C
- Initial temperature of nickel is 255.5 °C
- Mass of water in the calorimeter is 250.0 g
- Initial temperature of water is 20° C
- Final temperature of the mixture is 35.5°C
- Specific heat capacity of water is 4.18 J/g°C
We are required to calculate the mass of nickel sample;
<h3>Step 1: Calculate the amount of heat absorbed by water.</h3>
We know that quantity of heat absorbed, Q = m × c × ΔT
Change in temperature, ΔT = 35.5°C - 20°C
= 15.5 °C
Therefore, Q = 250 g × 4.1 J/g°C × 15.5° C
= 16,197.5 Joules
<h3>Step 2: Calculate the amount of heat released by nickel sample</h3>
Assuming the mass of nickel sample is m
Then, Heat released, Q = m × c × ΔT
Change in temperature, ΔT = 255.5 °C - 35.5 ° C
= 220 °C
Q = m × 0.446 J/g°C × 220° C
= 98.12m joules
<h3>Step 3: Determine the mass of nickel sample</h3>
We know that the amount of heat absorbed is equivalent to amount of heat released.
That is, Quantity of heat absorbed = Quantity of heat released
Therefore;
98.12 m joules = 16,197.5 Joules
m = 165.078 g
Thus, the mass of nickel sample is 165.078 g
