contestada

Calculate the heat gained by 100 grams of ice at -20°C in order to become water at 50°C. ( C = .5 for ice and C = 1 for water, Q = M.С.ΔT)

Respuesta :

Answer:

[tex] 6008[/tex] cal

Explanation:

[tex]m_{i}[/tex] = mass of ice = 100 g = 0.1 kg

[tex]c_{i}[/tex]  = specific heat of ice = 0.5 cal/(kg°C)

[tex]c_{w}[/tex]  = specific heat of water = 1 cal/(kg°C)

[tex]L[/tex]  = Latent heat of fusion of ice = 80 J/g

[tex]T_{i}[/tex]  = initial temperature of ice = - 20 °C

[tex]T_{f}[/tex]  = final temperature of ice = 50 °C

Q = Heat gained

Heat gained is given as

[tex]Q = m_{i} c_{i}(0 - (T_{i}))+ m_{i}L + m_{i}c_{w}(T_{i} - 0)[/tex]

[tex]Q = (100) (0.5) (0 - (- 20))+ (0.1)(80) + (100) (1)(50 - 0)[/tex]

[tex]Q = 6008[/tex] cal