To calculate the partial pressure of nitrogen in the mixture, we need to subtract the vapor pressure of water from the total pressure of the mixture.
First, convert the vapor pressure of water from mm Hg to atm:
18.7 mm Hg * 1 atm / 760 mm Hg = 0.0247 atm
Next, subtract the vapor pressure of water from the total pressure of the mixture:
1.07 atm - 0.0247 atm = 1.0453 atm
So, the partial pressure of nitrogen in the mixture at 21 °C is 1.0453 atm.