Three rods made of the same material and having the same cross-section have been joined as shown in the figure. Each rod is of the same length. The left and right ends are kept at 0$^{\circ}$C and 90$^{\circ}$C respectively. The temperature of junction of the three rods will be
- 45$^{\circ}C$
- 60$^{\circ}C$
- 30$^{\circ}C$
- 20$^{\circ}C$
The Correct Option is B
Solution and Explanation
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Concepts Used:
Calorimetry
In chemistry and thermodynamics, calorimetry is the science or act of measuring changes in state variables of a body for the purpose of deriving the heat transfer associated with changes of its state due, for example, to chemical reactions, physical changes, or phase transitions under specified constraints. Calorimetry is performed with a calorimeter. Scottish physician and scientist Joseph Black, who was the first to recognize the distinction between heat and temperature, is said to be the founder of the science of calorimetry.
Calorimeter Principle
When two bodies of different temperatures (preferably a solid and a liquid) are placed in physical contact with each other, the heat is transferred from the body with higher temperature to the body with lower temperature until thermal equilibrium is attained between them. The body at higher temperature releases heat while the body at lower temperature absorbs heat. The principle of calorimetry indicates the law of conservation energy, i.e. the total heat lost by the hot body is equal to the total heat gained by the cold body.
The heat transfer in a system is calculated using the formula,
Heat Lost = Heat Gained
Where
q is the measure of heat transfer
m is the mass of the body
c is the specific heat of the body
Δt is the change in the temperature