Examkin

Soru

Zorluk: KolayLatent Heat and Changes of State

Calculate the thermal energy, in joules, required to completely melt 0.50 kg0.50\text{ kg} of ice at its melting point of 0∘C0^\circ\text{C}. (Take the specific latent heat of fusion of ice as 3.36×105 J kg−13.36 \times 10^5\text{ J kg}^{-1}).

Cevap: 168000 J

Cevap

The total heat required to completely melt the ice is 168,000 J168,000\text{ J}.
During a state change from solid to liquid at constant temperature, the thermal energy absorbed is given directly by Q=mLfQ = m L_f. Multiplying mass (0.50 kg0.50\text{ kg}) by specific latent heat (3.36×105 J kg−13.36 \times 10^5\text{ J kg}^{-1}) gives 168,000 J168,000\text{ J}.

Adım Adım Çözüm

1
Identify the given values and formula
Mass m=0.50 kgm = 0.50\text{ kg}, Specific latent heat of fusion Lf=3.36×105 J kg−1L_f = 3.36 \times 10^5\text{ J kg}^{-1}, Formula: Q=mLfQ = m L_f
Since the phase change occurs at constant temperature (0∘C0^\circ\text{C}), sensible heat calculation (mcΔTmc\Delta T) is zero and only latent heat is needed.
2
Substitute values into the formula and calculate
Q=0.50 kg×3.36×105 J kg−1=168,000 JQ = 0.50\text{ kg} \times 3.36 \times 10^5\text{ J kg}^{-1} = 168,000\text{ J}
Direct multiplication of mass and specific latent heat yields the energy required in Joules.

Anahtar Kavram

Specific Latent Heat of Fusion
Bu soruyu puanla

Konular

Latent Heat and Changes of State

Bu konudan daha fazla soru