Question

9) 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 = mcdeltaT. Substitute the given values into the formula to solve for c. Convert the units if necessary.

Step-by-step explanation:

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

Q = mcΔT

Where:

• Q is the heat energy (in Joules)
• m is the mass of the alloy (in kilograms)
• c is the specific heat capacity of the alloy (in J/kg°C)
• ΔT is the change in temperature (in °C)

In this case, we are given:

• Q = 59.3 kJ (convert to Joules by multiplying by 1000)
• m = 150.0 g (convert to kilograms by dividing by 1000)
• ΔT = 398 K - 298 K = 100 K

Substitute these values into the formula:

59.3 kJ = (0.150 kg) * c * 100 K

Solve for c:

c = 59.3 kJ / (0.150 kg * 100 K)

Finally, convert the answer to J/kg°C:

c = 395.3 J/kg°C