KCET2024PhysicsThermal Properties of Matter
A solid cube of mass m at a temperature ₀ is heated at a constant rate. It becomes liquid at temperature ₁ and vapour at temperature ₂ . Let s₁ and s₂ be specific heats in its solid and liquid states respectively. If L_f and L_v are latent heats of fusion and vaporisation respectively, then the minimum heat energy supplied to the cube until it vaporises is
Options
- Am s₁ ( ₁- ₀ )+m s₂ ( ₂- ₁ )
- Bm L_f+m s₂ ( ₂- ₁ )+m L_v
- Cm s₁ ( ₁- ₀ )+m L_f+m s₂ ( ₂- ₁ )+m L_y
- Dm s₁ ( ₁- ₀ )+m L_f+m s₂ ( ₂- ₀ )+m L_v
Correct answer
C. m s₁ ( ₁- ₀ )+m L_f+m s₂ ( ₂- ₁ )+m L_y
Step-by-step solution
Minimum heat energy supplied to the cube until it vaporises, is given as Q= heat given to liquify at ₁+m latent heat of fusion + heat given to vaporise at ₂+m latent Heat of vaporisation =m s₁ ( ₁- ₀ )+m L_f+m s₂ ( ₂- ₁ )+m L₂