The total heat required is 42725 J.
To calculate the total heat required, first calculate the heat to raise the temperature of ice from -50°C to 0°C (q1), the heat for phase change from ice to water at 0°C (q2), and the heat to raise the temperature of water from 0°C to its boiling point (q3). Then, sum these values: Q = q1 + q2 + q3. Using the formula Q = m * c * ΔT, where m is mass, c is specific heat, and ΔT is temperature change.
q1=m⋅c ice⋅ΔT1
q2=m⋅Enthalpy of Fusion
q3=m⋅cwater ⋅ΔT2
Q=q1+q2+q3
Substitute the given values:
q1=50g⋅2.05J/g-°C⋅(0−(−50))°C
q2=50g⋅334J/g
q3=50g⋅4.18J/g-°C⋅(100−0)°C
Q=q1+q2+q3
Substitute the given values:
Q=(50⋅2.05⋅50)+(50⋅334)+(50⋅4.18⋅100)
Q=5125+16700+20900
Q=42725Joules
Therefore, the total heat required is 42725 J.