Question

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 __________.

Answer 1

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 2

Answer:water at a common temperature T

Step-by-step explanation:

Let say First quantity be
`m_1` and second Quantity be
`m_2`

and their specific heat be c

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

`m_1c(T-T_1)=m_2c(T_2-T)`

let
`(m_1)/(m_2)=x`

`xT-xT_1=T-T_2`

`T=(T_2-xT_1)/(x-1)`