Given: m1 = -250 g (mass of first substance) t1 = -80 °C (temperature of first substance) m2 = -165 g (mass of second substance) t2 = -(-5) °C (temperature of second substance) t3 = -15 °C (temperature of final mixture) св = -4200 J/(kg·°C) (specific heat capacity of first substance) сл = 2100 J/(kg·°C) (specific heat capacity of second substance)
a) To find Q1, the heat transferred to the first substance, we use the formula: Q1 = m1 * св * (t3 - t1) = -250 g * -4200 J/(kg·°C) * (-15 °C - (-80 °C)) = -250 g * -4200 J/(kg·°C) * 65 °C = 68250000 J
Q1 = 68250000 J = 68.25 kJ
b) To find Q2, the heat transferred to the second substance, we use the formula: Q2 = m2 * сл * (t3 - t2) = -165 g * 2100 J/(kg·°C) * (-15 °C - (-5 °C)) = -165 g * 2100 J/(kg·°C) * (-10 °C) = 3465000 J
Q2 = 3465000 J = 3.465 kJ
c) To find Q3, the heat needed for melting ice, we can use the specific heat capacity of the first substance since it undergoes a phase change: Q3 = m1 * св * (0 °C - t2) = -250 g * -4200 J/(kg·°C) * (0 °C - (-5 °C)) = -250 g * -4200 J/(kg·°C) * 5 °C = 525000 J
Q3 = 525000 J = 0.525 kJ
d) To find Q4, the heat needed to raise the melted water to the final temperature, we can use the specific heat capacity of water: Q4 = m1 * сл * (t3 - 0 °C) = -250 g * 2100 J/(kg·°C) * (-15 °C - 0 °C) = -250 g * 2100 J/(kg·°C) * (-15 °C) = 787500 J
Q4 = 787500 J = 0.7875 kJ
The equation for the heat balance is: Q1 = Q2 + Q3 + Q4
68.25 kJ = 3.465 kJ + 0.525 kJ + 0.7875 kJ
e) Comparing the obtained value with the tabulated value, we have: λ = 335 kJ/kg (tabulated value) 68.25 kJ (obtained value)
Since the obtained value (68.25 kJ) is not equal to the tabulated value (335 kJ/kg), we can conclude that there might be some errors or uncertainties in the calculations or assumptions made.
