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A piece of unknown substance has a mass of 44.7 g and requires 2110 j to increase its temperature from 23.2 °c to 89.6 °c.rnassuming the substance is one of those listed in the table presented in this lesson, what is the identity of the substance?rngold rnironrnaluminum rnsilicon
Accepted Answer
To determine the identity of the substance, we need to calculate its specific heat capacity. Here's how:
1. Calculate the temperature change:
ΔT = 89.6 °C - 23.2 °C = 66.4 °C
2. Use the formula:
Q = mcΔT
where:
Q is the heat energy (2110 J)
m is the mass (44.7 g)
c is the specific heat capacity (unknown)
ΔT is the temperature change (66.4 °C)
3. Solve for c:
c = Q / (mΔT) = 2110 J / (44.7 g
66.4 °C) ≈ 0.71 J/(g·°C)
4. Compare the calculated specific heat capacity to the values for the listed substances:
Gold: 0.129 J/(g·°C)
Iron: 0.449 J/(g·°C)
Aluminum: 0.897 J/(g·°C)
Silicon: 0.703 J/(g·°C)
The calculated specific heat capacity (0.71 J/(g·°C)) is closest to that of Silicon (0.703 J/(g·°C)). Therefore, the unknown substance is most likely Silicon.
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