1. Dareo. [ m=2 mathrm(~m) t_(1)=14^circ mathrm(C) t_(2)=50^circ mathrm(C) Q_(1)=Q_(2) c-4200 (mathrm(Dm))/(k 2 cdot( )^circ mathrm(C)) (2=2,7 cdot 10^2 frac(2 m)/(22))(m_(2)-?) ]

To solve this problem, we need to use the formula for heat transfer: where:- is the heat transferred,- is the mass of the substance,- is the specific heat capacity of the substance,- is the change in temperature.Given:- - - - - \( c = 4200 \, \text{J/(kg} \cdot \text{°C)} \)We need to find .First, calculate the change in temperature ( ): Since , we can set up the equation: Given that and , and , we can simplify the equation: Therefore, the value of is .