ASAP PLEASE: A man makes a cup of tea using 354 g of water at 93 degrees C inside a 92 g ceramic mug with a specific heat of 1.09 J/g degrees C. He cools the tea by adding an ice cube at -6 degrees C. The final temp of the tea and melted ice together is 72 degrees C. Assume the mug and tea keep the same temp. Calculate the mass of the ice cube.

Acyclotron is used to produce a beam of high-energy deuterons that then collide with a target to produce radioactive isotopes for a medical procedure. deuterons are nuclei of deuterium, an isotope of hydrogen, consisting of one neutron and one proton, with total mass 3.34×10−27kg. the deuterons exit the cyclotron with a kinetic energy of 6.40 mev .a-what is the speed of the deuterons when they exit? b-if the magnetic field inside the cyclotron is 1.25 t, what is the diameter of the deuterons' largest orbit, just before they exit? c-if the beam current is 350 μa how many deuterons strike the target each second?