Okay, let's break this down step-by-step:
- We want to raise the temperature of 654 g of silver from 34.5 C to 89.7 C.
- To convert temperatures to Kelvin: 34.5 C = 34.5 + 273 = 307.65 K and 89.7 C = 89.7 + 273 = 362.85 K
- So we want to raise the temperature from 307.65 K to 362.85 K.
- The heat capacity of silver is 0.235 J/(kg•K)
- So heat capacity of 654 g silver = (0.235 J/(kg•K)) * (654 g) = 154.214 J/(kg•K)
- Heat required = Mass * Heat Capacity * Temperature Change
- = (654 g) * (154.214 J/(kg•K)) * (362.85 - 307.65 K)
- = 32,000 J
Therefore, to raise the temperature of 654 g of silver from 34.5 C to 89.7 C requires 32,000 J of heat.
Let me know if you have any other questions!