A 100-liter tank contains water at 200 kPa and a quality of 2%. Heat is added to the water resulting in an increase in its pressure and temperature. At a pressure of 3 MPa a safety valve opens and saturated vapor at 3 MPa flows out. The process continues, maintaining 3 MPa inside the tank until the quality in the tank is 80%, then stops. Determine the total mass of water that flowed out and the total heat transfer to the tank.

Answers

Answer 1

Thus, the total mass of water that flowed out is 0.0001488 kg, and the total heat transfer to the tank is 14.49 MJ.

A 100-liter tank is initially filled with water at a pressure of 200 kPa and a quality of 2%. The water is heated and its temperature and pressure rise. At a pressure of 3 MPa, a safety valve opens and saturated vapor at 3 MPa exits. The process is continued until the quality reaches 80%, at which point it is stopped. The total mass of water that flowed out and the total heat transfer to the tank must be calculated.

The ideal gas law and specific volume formula can be used to solve the problem.

The solution is as follows:V_1 = 100 L = 0.1 m³P_1 = 200 kPa = 0.2 MPaQ_1 = 2%Q_2 = 80%V_2 = m/ρ_v_2 = m/(0.0693 m³/kg) = 14.365mP_2 = 3 MPa

First, determine the mass of the water in the tank: m = ρ_v_1V_1 = 0.00212 × 0.1 = 0.000212 kg

The mass of the water that escaped can be found using the mass balance equation:

m_out = m_1 - m_2m_out = m(Q_1 - Q_2) = 0.000212(0.02 - 0.8) = 0.0001488 kg

The quantity of heat transferred to the tank can be calculated as follows:

Q = mΔh = m(h_2 - h_1) = m(v_2 - v_1)(P_2 - P_1)Q = 0.0001488(0.1478 - 0.00105) × (3 × 10⁶ - 0.2 × 10⁶)Q = 14.49 MJ

Thus, the total mass of water that flowed out is 0.0001488 kg, and the total heat transfer to the tank is 14.49 MJ.

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Related Questions

The Magnetic Field of a plane wave traveling in the air is given by H=X 50 sin (2π x 10 ^7 -ky) (ma/m) determine the power density carried by the wave

Answers

The power density carried by the wave is then given by the magnitude of the time-averaged Poynting vector Power Density (P) = |S|

If you have the values for X, E0, and k, please provide them, and I will be able to assist you further in calculating the power density carried by the wave.

To determine the power density carried by the plane wave, we need to calculate the time-averaged Poynting vector. The Poynting vector represents the flow of electromagnetic energy per unit area and is given by the cross product of the electric field and magnetic field vectors.

In this case, the given magnetic field is H = X50 sin(2πx10^7 - ky) (mA/m), where X is the polarization constant, k is the wave number, and y represents the direction perpendicular to the wave propagation.

Let's assume that the electric field vector is E = E0 sin(2πx10^7 - ky), where E0 is the amplitude of the electric field.

The time-averaged Poynting vector (S) can be calculated as:

S = (1/2) * Re(E x H*)

where Re represents the real part of the complex number and H* denotes the complex conjugate of the magnetic field.

The power density carried by the wave is then given by the magnitude of the time-averaged Poynting vector:

Power Density (P) = |S|

To compute the power density, we need the values of X, E0, and k. However, these values are not provided in the given information. Without these values, it is not possible to determine the exact power density carried by the wave.

If you have the values for X, E0, and k, please provide them, and I will be able to assist you further in calculating the power density carried by the wave.

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Which of the following could be considered an unethical use of evaluation research results?
A. Commissioning an evaluation on a state prison with the intention of providing evidence of poor performance to justify cutting funding
B. All of these
C. None of these
D. Demonstrating the success of a federally funded social support program to lobby Congress for additional money
E. A program director asking a researcher to use neutral, non-biased language in a report that will present negative findings about their program's effectiveness
Which of the following qualitative data analysis methods relies on the use of signs and symbols and their associated social meanings?
A. Conversation analysis
B. Semiotics
C. Cross-case analysis
D. Grounded Theory Method

Answers

An unethical use of evaluation research results could be commissioning an evaluation on a state prison with the intention of providing evidence of poor performance to justify cutting funding.

Qualitative data analysis methods relies on the use of signs and symbols and their associated social meanings is Semiotics.

Evaluation research results are often used in making decisions about programs, policies, and practices. It is essential that the results of the evaluation are not misused or misinterpreted. Commissioning an evaluation on a state prison with the intention of providing evidence of poor performance to justify cutting funding is an example of unethical use of evaluation research results.

Semiotics is a type of qualitative research that analyzes data that has meaning to the people who have created it. It looks at the meanings that people attribute to objects, actions, and processes. Semiotics, unlike other forms of qualitative research, is concerned with the interpretation of meaning-making activities.

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