Answer :
The energy change when the temperature of 11.6 grams of gaseous hydrogen is decreased from 38.1 °C to 24.4 °C is -2293.4 joules.
How to calculate the energy change
To calculate the energy change, we need to use the formula:
q = m × c × ΔT
where q is the energy change (in joules), m is the mass of the substance (in grams), c is the specific heat capacity of the substance (in J/g·°C), and ΔT is the change in temperature (in °C).
For gaseous hydrogen, the specific heat capacity at constant pressure (Cp) is approximately 14.31 J/g·°C.
So, plugging in the values given in the question, we get:
q = 11.6 g × 14.31 J/g·°C × (24.4 °C - 38.1 °C)
q = -2293.4 J
Note that the negative sign indicates that the energy change is a release of heat (exothermic process) rather than an absorption of heat (endothermic process).
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