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A certain water heater operates under steady flow conditions, receiving 4.2 kg/s of water at 75°C temperature and an enthalpy of 313.93 kJ/kg. Water is heated by mixing with steam, which is supplied to a heater at a temperature of 100.2°C and an enthalpy of 2676 kJ/kg. The mixture leaves the heater as liquid water at a temperature of 100°C and an enthalpy of 419 kJ/kg. Then, the mass flow rate of steam to heater (in kg/s) is___________.
Assume it is a steady process and no KE and PE. No heat loss to surroundings.
Correct answer is '0.1955'. Can you explain this answer?
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A certain water heater operates under steady flow conditions, receivi...
Given data:
- Mass flow rate of water (m_dot_w) = 4.2 kg/s
- Inlet temperature of water (T_in_w) = 75°C
- Inlet enthalpy of water (h_in_w) = 313.93 kJ/kg
- Inlet temperature of steam (T_in_steam) = 100.2°C
- Inlet enthalpy of steam (h_in_steam) = 2676 kJ/kg
- Outlet temperature of water (T_out_w) = 100°C
- Outlet enthalpy of water (h_out_w) = 419 kJ/kg
Assumptions:
- Steady flow conditions
- No kinetic energy and potential energy changes
- No heat loss to surroundings
Approach:
1. Calculate the heat transferred to the water using the equation Q = m_dot_w * (h_out_w - h_in_w).
2. Calculate the heat transferred from the steam using the equation Q = m_dot_steam * (h_in_steam - h_out_w).
3. Equate the two heat transfer equations to find the mass flow rate of steam (m_dot_steam).
Calculations:
1. Heat transferred to the water:
Q = m_dot_w * (h_out_w - h_in_w)
= 4.2 kg/s * (419 kJ/kg - 313.93 kJ/kg)
= 4.2 kg/s * 105.07 kJ/kg
= 441.234 kJ/s
2. Heat transferred from the steam:
Q = m_dot_steam * (h_in_steam - h_out_w)
Substitute the known values and solve for m_dot_steam:
441.234 kJ/s = m_dot_steam * (2676 kJ/kg - 419 kJ/kg)
m_dot_steam = 441.234 kJ/s / (2676 kJ/kg - 419 kJ/kg)
m_dot_steam = 441.234 kJ/s / 2257 kJ/kg
m_dot_steam = 0.1955 kg/s
Answer:
The mass flow rate of steam to the heater is 0.1955 kg/s.
- Mass flow rate of water (m_dot_w) = 4.2 kg/s
- Inlet temperature of water (T_in_w) = 75°C
- Inlet enthalpy of water (h_in_w) = 313.93 kJ/kg
- Inlet temperature of steam (T_in_steam) = 100.2°C
- Inlet enthalpy of steam (h_in_steam) = 2676 kJ/kg
- Outlet temperature of water (T_out_w) = 100°C
- Outlet enthalpy of water (h_out_w) = 419 kJ/kg
Assumptions:
- Steady flow conditions
- No kinetic energy and potential energy changes
- No heat loss to surroundings
Approach:
1. Calculate the heat transferred to the water using the equation Q = m_dot_w * (h_out_w - h_in_w).
2. Calculate the heat transferred from the steam using the equation Q = m_dot_steam * (h_in_steam - h_out_w).
3. Equate the two heat transfer equations to find the mass flow rate of steam (m_dot_steam).
Calculations:
1. Heat transferred to the water:
Q = m_dot_w * (h_out_w - h_in_w)
= 4.2 kg/s * (419 kJ/kg - 313.93 kJ/kg)
= 4.2 kg/s * 105.07 kJ/kg
= 441.234 kJ/s
2. Heat transferred from the steam:
Q = m_dot_steam * (h_in_steam - h_out_w)
Substitute the known values and solve for m_dot_steam:
441.234 kJ/s = m_dot_steam * (2676 kJ/kg - 419 kJ/kg)
m_dot_steam = 441.234 kJ/s / (2676 kJ/kg - 419 kJ/kg)
m_dot_steam = 441.234 kJ/s / 2257 kJ/kg
m_dot_steam = 0.1955 kg/s
Answer:
The mass flow rate of steam to the heater is 0.1955 kg/s.
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A certain water heater operates under steady flow conditions, receivi...
This is an adiabatic mixing streams, the steady flow energy
equation is
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A certain water heater operates under steady flow conditions, receiving 4.2 kg/s of water at 75°C temperature and an enthalpy of 313.93 kJ/kg. Water is heated by mixing with steam, which is supplied to a heater at a temperature of 100.2°C and an enthalpy of 2676 kJ/kg. The mixture leaves the heater as liquid water at a temperature of 100°C and an enthalpy of 419 kJ/kg. Then, the mass flow rate of steam to heater (in kg/s) is___________.Assume it is a steady process and no KE and PE. No heat loss to surroundings.Correct answer is '0.1955'. Can you explain this answer?
Question Description
A certain water heater operates under steady flow conditions, receiving 4.2 kg/s of water at 75°C temperature and an enthalpy of 313.93 kJ/kg. Water is heated by mixing with steam, which is supplied to a heater at a temperature of 100.2°C and an enthalpy of 2676 kJ/kg. The mixture leaves the heater as liquid water at a temperature of 100°C and an enthalpy of 419 kJ/kg. Then, the mass flow rate of steam to heater (in kg/s) is___________.Assume it is a steady process and no KE and PE. No heat loss to surroundings.Correct answer is '0.1955'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A certain water heater operates under steady flow conditions, receiving 4.2 kg/s of water at 75°C temperature and an enthalpy of 313.93 kJ/kg. Water is heated by mixing with steam, which is supplied to a heater at a temperature of 100.2°C and an enthalpy of 2676 kJ/kg. The mixture leaves the heater as liquid water at a temperature of 100°C and an enthalpy of 419 kJ/kg. Then, the mass flow rate of steam to heater (in kg/s) is___________.Assume it is a steady process and no KE and PE. No heat loss to surroundings.Correct answer is '0.1955'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A certain water heater operates under steady flow conditions, receiving 4.2 kg/s of water at 75°C temperature and an enthalpy of 313.93 kJ/kg. Water is heated by mixing with steam, which is supplied to a heater at a temperature of 100.2°C and an enthalpy of 2676 kJ/kg. The mixture leaves the heater as liquid water at a temperature of 100°C and an enthalpy of 419 kJ/kg. Then, the mass flow rate of steam to heater (in kg/s) is___________.Assume it is a steady process and no KE and PE. No heat loss to surroundings.Correct answer is '0.1955'. Can you explain this answer?.
A certain water heater operates under steady flow conditions, receiving 4.2 kg/s of water at 75°C temperature and an enthalpy of 313.93 kJ/kg. Water is heated by mixing with steam, which is supplied to a heater at a temperature of 100.2°C and an enthalpy of 2676 kJ/kg. The mixture leaves the heater as liquid water at a temperature of 100°C and an enthalpy of 419 kJ/kg. Then, the mass flow rate of steam to heater (in kg/s) is___________.Assume it is a steady process and no KE and PE. No heat loss to surroundings.Correct answer is '0.1955'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A certain water heater operates under steady flow conditions, receiving 4.2 kg/s of water at 75°C temperature and an enthalpy of 313.93 kJ/kg. Water is heated by mixing with steam, which is supplied to a heater at a temperature of 100.2°C and an enthalpy of 2676 kJ/kg. The mixture leaves the heater as liquid water at a temperature of 100°C and an enthalpy of 419 kJ/kg. Then, the mass flow rate of steam to heater (in kg/s) is___________.Assume it is a steady process and no KE and PE. No heat loss to surroundings.Correct answer is '0.1955'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A certain water heater operates under steady flow conditions, receiving 4.2 kg/s of water at 75°C temperature and an enthalpy of 313.93 kJ/kg. Water is heated by mixing with steam, which is supplied to a heater at a temperature of 100.2°C and an enthalpy of 2676 kJ/kg. The mixture leaves the heater as liquid water at a temperature of 100°C and an enthalpy of 419 kJ/kg. Then, the mass flow rate of steam to heater (in kg/s) is___________.Assume it is a steady process and no KE and PE. No heat loss to surroundings.Correct answer is '0.1955'. Can you explain this answer?.
Solutions for A certain water heater operates under steady flow conditions, receiving 4.2 kg/s of water at 75°C temperature and an enthalpy of 313.93 kJ/kg. Water is heated by mixing with steam, which is supplied to a heater at a temperature of 100.2°C and an enthalpy of 2676 kJ/kg. The mixture leaves the heater as liquid water at a temperature of 100°C and an enthalpy of 419 kJ/kg. Then, the mass flow rate of steam to heater (in kg/s) is___________.Assume it is a steady process and no KE and PE. No heat loss to surroundings.Correct answer is '0.1955'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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ample number of questions to practice A certain water heater operates under steady flow conditions, receiving 4.2 kg/s of water at 75°C temperature and an enthalpy of 313.93 kJ/kg. Water is heated by mixing with steam, which is supplied to a heater at a temperature of 100.2°C and an enthalpy of 2676 kJ/kg. The mixture leaves the heater as liquid water at a temperature of 100°C and an enthalpy of 419 kJ/kg. Then, the mass flow rate of steam to heater (in kg/s) is___________.Assume it is a steady process and no KE and PE. No heat loss to surroundings.Correct answer is '0.1955'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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