Question

What is the amount of energy required to increase the temperature of 150g of ice from -10°c to 0°c?

Answer 1

We can find the required amount of energy as follows:

$$Q = Q_1 + Q_2 = mc_{ice} \Delta T + mL_f,$$

here, $Q_1$ is the amount of energy required to change the temperature of the ice from $-10 \ ^{\circ}C$ to $0 \ ^{\circ}C$, $Q_2$ is the amount of energy required to transform ice to water at $0 \ ^{\circ}C$, $m = 0.15 \ kg$ is the mass of ice, c_{ice} = 2100 \ \dfrac{J}{kg \cdot \! ^{\circ}C} is the specific heat capacity of ice, $L_f = 3.33 \cdot 10^5 \ \dfrac{J}{kg}$ is the latent heat of fusion of ice and $\Delta T$ is the change in temperature.

Then, we can calculate the amount of energy required to increase the temperature of 150g of ice from -10°C to 0°C:

Q=0.15 \ kg \cdot 2100 \ \dfrac{J}{kg \cdot \! ^{\circ}C} \cdot 10 \ ^{\circ}C + 0.15 \ kg \cdot 3.33 \cdot 10^5 \ \dfrac{J}{kg} = 53100 \ J.

Answer:

$Q=53100 \ J.$