Step-by-step explanation:
We can use the formula:
Q = mcΔT
where Q is the heat energy transferred, m is the mass of the fluid, c is the specific heat capacity, and ΔT is the change in temperature.
Since the fluid is heated in a kettle, we can assume that the heat energy transferred (Q) is equal to the heat energy absorbed by the fluid. Therefore:
Q = mcΔT
We are given that the mass of the fluid is 1 and the change in temperature is 50°C. We need to find the specific heat capacity (c).
Let's rearrange the formula to solve for c:
c = Q / (mΔT)
We need to find the value of Q. To do this, we can use the formula:
Q = Pt
where P is the power of the kettle and t is the time it is turned on. We are given that the kettle is turned on for 2 minutes. However, we need to find the power of the kettle.
We can assume that all the electrical energy supplied to the kettle is converted into heat energy, i.e.,:
electrical energy = heat energy
Therefore:
P × t = mcΔT
We can rearrange this formula to solve for P:
P = mcΔT / t
Now we can substitute the given values into the formula:
P = mcΔT / t = c × 1 × 50 / 2 = 25c
We are given that the fluid is heated for 2 minutes, so we can assume that the power of the kettle is constant during this time. Therefore:
electrical energy = Pt = 25ct
This electrical energy is converted into heat energy, i.e.,:
electrical energy = heat energy = mcΔT
Substituting the given values and solving for c:
c = Q / (mΔT) = (25ct) / (1 × 50) = 0.5t
Therefore, the specific heat capacity of the fluid is 0.5t.