The inlet and the outlet conditions of steam for an adiabatic steam turbine are as indicated in the figure. The notations are as usually followed.
If mass flow rate of steam through the turbine is 20 kg/s the power output of the turbine (in MW) is:
The following four figures have been drawn to represent a fictitious thermodynamic cycle, on the p-v and T-s planes.
According to the first law of thermodynamics, equal areas are enclosed by
Fig-1 & 2 both are power cycle, so equal areas but fig-3 & 4 are reverse power cycle, so area is not meant something.
The contents of a well-insulated tank are heated by a resistor of 23 ohm in which 10 A current is flowing. Consider the tank along with its contents as a thermodynamic system. The work done by the system and the heat transfer to the system are positive. The rates of heat (Q), work (W) and change in internal energy (ΔU) during the process in kW are
electric work = I2R = 2.3 kW
On the system ⇒ W = -2.3 kW
& ΔU = -W = 2.3 kW
Which one of the following sets of thermodynamic laws/relations is directly involved in determining the final properties during an adiabatic mixing process?
If we adiabatically mix two liquid then perfect gas law is not necessary. But entropy change in the universe must be calculated by Second law of thermodynamics. Final entropy of then system is also a property. That so why we need second law.
For a closed system, the difference between the heat added to the system and the work done by the system is equal to the change in
From First law of thermodynamics, for a closed system the net energy transferred as heat Q and as work W is equal to the change in internal energy, U, i.e. Q – W = U
Which one of the following is correct?
The cyclic integral of for a process is:
It is du = đQ – đW, as u is a thermodynamic property and its cyclic integral must be zero.
A gas is compressed in a cylinder by a movable piston to a volume one-half of its original volume. During the process, 300 kJ heat left the gas and the internal energy remained same. What is the work done on the gas?
Since the internal energy of the system is constant ie. dU = 0, by first law we can conclude that dQ = dW +dU
Which then reduces to dQ = dW = 300 kJ
Gas contained in a closed system consisting of piston cylinder arrangement is expanded. Work done by the gas during expansion is 50 kJ. Decrease in internal energy of the gas during expansion is 30 kJ. Heat transfer during the process is equal to:
The values of heat transfer and work transfer for four processes of a thermodynamic cycle are given below:
The thermal efficiency and work ratio for the cycle will be respectively.
For a simple closed system of constant composition, the difference between the net heat and work interactions is identifiable as the change in
Internal energy is the sum of potential energy of the system and the system's kinetic energy. The change in internal energy (ΔU) of a reaction is equal to the heat gained or lost (enthalpy change) in a reaction when the reaction is run at constant pressure.
Change in internal energy in a reversible process occurring in a closed system is equal to the heat transferred if the process occurs at constant:
85 kJ of heat is supplied to a closed system at constant volume. During the next process, the system rejects 90 kJ of heat at constant pressure while 20 kJ of work is done on it. The system is brought to the original state by an adiabatic process. The initial internal energy is 100 kJ. Then what is the quantity of work transfer during the process?
Which of the following is NOT a path function?
In thermodynamics, energy can be in two forms, energy in transit and energy in storage. Energy in transit is a path function as the transfer of this energy through the boundaries of the system depends on the path which is followed by the system in the process. But energy in storage does not cross the boundaries of the system; hence it is a point function. Heat transfer as well as work transfer between the system and surrounding depends upon the path by which the process is occurred. Therefore heat energy and work energy are the path functions. Energy in storage is the internal energy. The change in internal energy (ΔE) remains constant, no matter which path is followed by a system to undergo a change of a certain state. Thus internal energy is a point function or state function.
When a system is taken from state A to state B along the path A-C-B, 180 kJ of heat flows into the system and it does 130 kJ of work (see figure given):
How much heat will flow into the system along the path A-D-B if the work done by it along the path is 40 kJ?
Change of internal energy from A to B along path ACB = 180 - 130 = 50 kJ. It will be same even along path ADB.
∴ Heat flow along ADB = 40 + 50 = 90 kJ.
When a gas is heated at constant pressure, the percentage of the energy supplied, which goes as the internal energy of the gas is:
Assertion (A): If the enthalpy of a closed system decreases by 25 kJ while the system receives 30 kJ of energy by heat transfer, the work done by the system is 55 kJ.
Reason (R): The first law energy balance for a closed system is (notations have their usual meaning)
Which one of the following is the steady flow energy equation for a boiler?
For boiler v1, v2 is negligible and z1 = z2 and
An insulated tank initially contains 0.25 kg of a gas with an internal energy of 200 kJ/kg .Additional gas with an internal energy of 300 kJ/kg and an enthalpy of 400 kJ/kg enters the tank until the total mass of gas contained is 1 kg. What is the final internal energy(in kJ/kg) of the gas in the tank?
Given: Quantity of gas = 0.25 kg
Internal energy = 200kg
Additional gas = 300kg
Enthalpy entering the tank = 400kg
To Find: Internal energy of gas in the tank
U = u1m1 + ( 1-m1 )h
U = 200 . 0.25 + ( 1 - 0.25) . 400 = 350
U = 350
Answer: The final internal energy is 350 kJ.
Two ideal heat engine cycles are represented in the given figure. Assume VQ = QR, PQ = QS and UP =PR =RT. If the work interaction for the rectangular cycle (WVUR) is 48 Nm, then the work interaction for the other cycle PST is
If a heat engine gives an output of 3 kW when the input is 10,000 J/s, then the thermal efficiency of the engine will be: