"let "let
"specific heat capacity of liquid "c_l ,specific heat capacity of liquid cl,
"specific heat capacity of container "c_c,specific heat capacity of container cc,
"mass of container " m_c,mass of container mc,
"mass of liquid "color(blue)(m),mass of liquid m,
"For two different situations, we need to create two heat "For two different situations, we need to create two heat "exchange equations."exchange equations.
"the heat is absorbed by both the liquid in the container."the heat is absorbed by both the liquid in the container.
"situation-1:"situation-1:
180cancel(0)=m_c*c_c*cancel(10) + color(blue)(m)*c_l*cancel(10)
180=m_c*c_c+m*c_l" "(1)
"situation-2:"
300cancel(0)=m_c*c_c*cancel(10)+2m*c_l*cancel(10)
300=m_c*c_c+2color(blue)(m)*c_l" "(2)
"from eq (1)"
m_c*c_c=180-color(blue)(m)*c_l
"to eq (2)"
300=180-color(blue)(m)*c_l+2color(blue)(m)*c_l
300-180=color(blue)m*c_l
120=color(blue)m*c_l
c_l=120/color(blue)(m)
