Nuclei

A nuclear reactor starts producing a radioactive nuclide X from t=0, at a constant rate of per second. Each decay of X produces energy E0, which is utilized to heat a liquid of mass m and specific heat s. Assuming no heat loss from the liquid and taking as the decay constant of X, the rate of increase in the temperature of the liquid is:

1. E0m s (1-e- t )
2. E0m s (e t-1 )
3. E0m s (1-e- t )
4. E0m s ( - e- t )