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Answer :
Final answer:
The energy change when temperature of gaseous xenon is decreased from 38.5 °C to 23.0 °C is about -29.56 Joules.
Explanation:
The energy change when the temperature of 12.1 grams of gaseous xenon is decreased from 38.5 °C to 23.0 °C can be calculated using the specific heat capacity formula: q = mcΔT, where 'q' is the heat energy, 'm' is the mass, 'c' is the specific heat capacity, and 'ΔT' is the temperature change. For xenon, the specific heat capacity under constant pressure is about 158 J/kg.K. The temperature change here is 38.5°C - 23.0°C = 15.5°C. The mass of xenon (m) given is 12.1g which is 0.0121 kg.
Substituting these values into the formula: q = (0.0121 kg)(158 J/kg.K)(15.5 K) gives us an energy change of approximately 29.56 Joules (we consider the value to be negative as it's a decrease in temperature, hence a loss of energy).
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