Question Bank • QB_DFE_EXP_015 NAT • 2 Marks

Section 7: Dairy and Food Engineering

Heat and Mass Transfer

Subtopic: Material and energy balances in food processing systems

Question Statement:

$2000\text{ kg/h}$ of milk is heated from $20.0^\circ\text{C}$ to $80.0^\circ\text{C}$ by condensing steam in a jacketed heat exchanger. The specific heat of milk is $C_p = 3.90\text{ kJ/(kg}\cdot\text{K)}$ and the latent heat of condensation of steam is $\lambda_s = 2250\text{ kJ/kg}$. Neglecting heat losses, the steam consumption rate in $\text{kg/h}$ is ________ (answer in integer).

Answer Key:

208

Step-by-Step Solution & Explanation

1. Heat absorbed by milk $Q$: $Q = \dot{m}_{milk} C_p \Delta T = 2000\text{ kg/h} \times 3.90\text{ kJ/(kg}\cdot\text{K)} \times (80.0 - 20.0)\text{ K} = 2000 \times 3.90 \times 60 = 468,000\text{ kJ/h}$ 2. Steam required $\dot{m}_{steam}$: $\dot{m}_{steam} = \frac{Q}{\lambda_s} = \frac{468,000\text{ kJ/h}}{2250\text{ kJ/kg}} = 208.0\text{ kg/h}$
← Previous (QB_DFE_EXP_011) Next (QB_DFE_EXP_020) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and AIR percentile ranking.

Launch CBT Mock Test