Using a mass spectrometer, the mass of the ${ }_{92}^{238} \mathrm{U}^{+}$ ion is found to be 238.05024 u. (a) Use this result to calculate the mass of the ${ }_{92}^{238} \mathrm{U}$ nucleus. (b) Now find the binding energy of the ${ }_{92}^{238} \mathrm{U}$ nucleus.