How much heat is required to raise the temp of 654 g of silver from 34.5 C to 89.7 C?

Question

asked Nov 6, 2024 99.8k views

1 Answer

Aclowkay · Answer 1 · 2024-11-12T23:20:04+0000

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.

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