Find the mass of the fuel required to raise the temperature of 2 kg of water in a copper container of mass 1 kg by `88^(@)C`. Given calorific value of fuel is 48 MJ `kg^(-1)`, specific heat capacity of water is 1 cal `g^(-1).^(@)C^(-1)` and specific heat capacity of copper is 0.095 cal `g^(-1).^(@)C^(-1)`.

Explanation

(i) Energy supplied is utilized to raise the temperature of both water and container.
(ii) Definition of calorific value.
(iii) `Q=m_w s_w Deltat_w + m_c s_c Deltat_c`
(iv) Q=mc
(v) 16.3 g