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In an insulated vessel, a quantity of hot water at temperature t1 is mixed with a different quantity of cold water at temperature t2. after equilibrium is established, the vessel contains __________.

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mountaaindew
In an insulated vessel, a quantity of hot water at temperature T1 is mixed with a different quantity of cold water at temperature T2. After equilibrium is established, the vessel contains water only.

Answer:water at a common temperature T

Explanation:

Let say First quantity be [tex]m_1[/tex] and second Quantity be [tex]m_2[/tex]

and their specific heat be c

thus balancing heat so that total mass of water has a common temperature of T

[tex]m_1c(T-T_1)=m_2c(T_2-T)[/tex]

let [tex]\frac{m_1}{m_2}=x[/tex]

[tex]xT-xT_1=T-T_2[/tex]

[tex]T=\frac{T_2-xT_1}{x-1}[/tex]