Final answer:
The amount of heat required to raise the temperature of one mole of oxygen from 300K to 1300K at constant pressure is 29400 Joules.
Step-by-step explanation:
To calculate the amount of heat required to raise the temperature of one mole of oxygen from 300K to 1300K at constant pressure, we can use the equation:
q = nCpΔT
Where:
- q is the heat
- n is the number of moles of oxygen
- Cp is the molar heat capacity
- ΔT is the change in temperature
For oxygen gas, the molar heat capacity at constant pressure is approximately 29.4 J/(mol·K). Plugging in the values:
n = 1 mole
Cp = 29.4 J/(mol·K)
ΔT = (1300K - 300K) = 1000K
Substituting these values into the equation:
q = (1 mole)(29.4 J/(mol·K))(1000K) = 29400 J
Therefore, the amount of heat required is 29400 Joules.