Final answer:
The heat required to raise the temperature of 1.5 mol of diatomic air from 25.0°C to 33.0°C cannot be determined accurately without the exact molar heat capacity for diatomic gases at constant volume. For xenon, 150 J of heat would be needed for the same process using typical molar heat capacity values.
Step-by-step explanation:
Calculating Heat Added to Raise Temperature
To calculate the heat (q) needed to raise the temperature of 1.5 mol of diatomic air from 25.0°C to 33.0°C at constant volume, you can use the formula:
q = n × Cv × ΔT
For a diatomic gas at constant volume, the molar heat capacity (Cv) is approximately 20.8 J/mol·K. The change in temperature (ΔT) is 33.0°C - 25.0°C = 8.0 K.
Heat added for air: q = 1.5 mol × 20.8 J/mol·K × 8.0 K = 249.6 J
The exact answer is not listed in the provided options and will need to be reassessed based on the correct molar heat capacity for diatomic gases at constant volume.
To calculate the heat needed for xenon, Xe, which is a monatomic gas, use the formula:
q = n × Cv (for Xe) × ΔT
The molar heat capacity (Cv) for monatomic gases at constant volume is about 12.5 J/mol·K. Therefore, the heat added would be:
q = 1.5 mol × 12.5 J/mol·K × 8.0 K = 150 J
Again, this calculation is based on typical values and may vary slightly depending on the precise heat capacity value for xenon.