By how many degrees fahrenheit can the temperature of one metric ton of water be raised with the addition of 110 thousand btus of heat?

1 BTU mean 1 degree of F increased for 1 pound mass. Since the mass unit is in kg that means you need to convert it into pound. One metric ton means 1000kg and 1 kg mean 2.20462lb, then the water mass is: 1000kg x 2.20462lb/kg = 2204.62lb.

You are putting 110,000 btus of heat, so the calculation would be

Temperature increase = energy/mass = 110000btus / 2204.62lb = 49.9 degree