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How much heat is needed to raise the temperature of 5 kg of silver from 20°c to 960°c?

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Final answer:

To heat 5 kg of silver from 20°C to 960°C, 1.1075×10^9 joules of heat are required, using the specific heat capacity of silver and the formula Q = mcΔT.

Step-by-step explanation:

To calculate how much heat is required to raise the temperature of 5 kg of silver from 20°C to 960°C, the specific heat capacity of silver and the equation Q = mcΔT, where Q is the heat added, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature, are needed. The specific heat capacity of silver is 235 J/kg°C.

The change in temperature (ΔT) is 960°C - 20°C = 940°C. Substituting the known values into the equation, we get:

Q = (5,000 g) × (235 J/kg°C) × (940°C) = 1,107,500,000 J or 1.1075×109 J

Therefore, 1.1075×109 joules of heat are needed to raise the temperature of 5 kg of silver from 20°C to 960°C.

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