Question

4) determine the specific heat capacity of an alloy that requires 59.3 kj to raise the temperature of 150.0 g alloy from 298 k to 398 k.

Answer 1

To determine the specific heat capacity of the alloy, use the formula Q = mcΔT. Plugging in the values provided, the specific heat capacity of the alloy is determined to be 395.33 J/(kg·K).

Step-by-step explanation:

To determine the specific heat capacity of the alloy, we can use the formula:

Q = mcΔT

1. Q is the heat energy absorbed by the alloy, which is 59.3 kJ (convert to J by multiplying by 1000).
2. m is the mass of the alloy, which is 150.0 g (convert to kg by dividing by 1000).
3. c is the specific heat capacity of the alloy, which is what we want to find.
4. ΔT is the change in temperature, which is (398 K - 298 K) = 100 K.

Plugging in the values, we have:

59.3 kJ = (150.0 g / 1000 kg/g) * c * 100 K

Simplifying the equation, we can solve for c:

c = (59.3 kJ) / (0.015 kg * 100 K) = 395.33 J/(kg·K)

Therefore, the specific heat capacity of the alloy is 395.33 J/(kg·K).