Calculate the value of the change in enthalpy(H) when the temperature of 1 mole of a monatomic gas is increased from 25C to 300C.
To calculate the change in enthalpy (ΔH) when the temperature of a monatomic gas is changed, we need to use the equation:
ΔH = n * C * ΔT
Where:
ΔH is the change in enthalpy
n is the number of moles of the gas
C is the molar heat capacity of the gas
ΔT is the change in temperature
In this case, we are given the following information:
n = 1 mole
ΔT = (300°C - 25°C) = 275°C
To solve this problem, we need the molar heat capacity (C) of the monatomic gas. For monatomic gases, the molar heat capacity at constant volume can be approximated as the ideal gas constant (R) divided by 2:
C = R / 2
The ideal gas constant (R) is 8.314 J/(mol·K).
To convert the change in temperature from Celsius to Kelvin, we need to add 273.15 to each value:
ΔT (Kelvin) = (300°C + 273.15) - (25°C + 273.15)
Now, we can substitute the given values into the equation:
ΔH = n * C * ΔT
ΔH = 1 * (8.314 J/(mol·K) / 2) * (ΔT (Kelvin))
Simply perform the calculations to find the answer.