The heat needed is 132J
Given the mass of the gold m = 3 gram.
The initial temperature of the gold T = 21 degree celsius.
The final temperature of the gold T' = 363 degree celsius.
Hence, the change in temperature dT = T' - T
= 363 - 21 degree celsius
= 342 degree celsius.
The specific heat of the gold is given as c = 0.129 J/g°C
We are asked to calculate the heat required ( dQ ) to raise the temperature of gold.
The heat required for this is calculated as
dQ = mcDT
dQ = 3 × 342 × 0.129 J
dQ = 132.354 J ≈ 132 J
Hence, the Heat needed is 132 J.
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