[latex]m_1cdot C_{w_1}(T_1-T)=m_2cdot C_{w_2}(T-T_2)\\m_1cdot C_{w_1}(T_1-T)-m_2cdot C_{w_2}(T-T_2)=0\\m_1cdot C_{w_1}cdot T_1-m_1cdot C_{w_1}cdot T-m_2cdot C_{w_2}cdot T+m_2cdot C_{w_2}cdot T_2=0\\-m_1cdot C_{w_1}cdot T-m_2cdot C_{w_2}cdot T=-m_1cdot C_{w_1}cdot T_1-m_2cdot C_{w_2}cdot T_2 /cdot(-1)\\m_1cdot C_{w_1}cdot T+m_2cdot C_{w_2}cdot T=m_1cdot C_{w_1}cdot T_1+m_2cdot C_{w_2}cdot T_2[/latex]
[latex](m_1cdot C_{w_1}+m_2cdot C_{w_2})T=m_1cdot C_{w_1}cdot T_1+m_2cdot C_{w_2}cdot T_2 /:(m_1cdot C_{w_1}+m_2cdot C_{w_2})
eq0\\T=frac{m_1cdot C_{w_1}cdot T_1+m_2cdot C_{w_2}cdot T_2}{m_1cdot C_{w_1}+m_2cdot C_{w_2}}[/latex]
©DRK