GATE ME 2021 : Subject Revision Quiz 3 (App update required to attempt this test)

An ideal gas goes through two processes as given in the P-V plot.

For the variables volume(V), temperature(T), pressure(P). What is the value of (∂V/∂T)p (∂P/∂V)T (∂T/∂P)V ?

An ideal gas goes through the cycle (1-2-3-4-1) given in the figure.

State which of the following statements are TRUE?

1) The purpose of psychrometric calculations is to fix the supply air conditions

2) The purpose of psychrometric calculations is to find the load on the building

3) In a 100% re-circulation system, the coil ADP is equal to room ADP

4) In a 100% re-circulation system, the coil ADP is less than room ADP

Two blocks of iron and copper, both initially at 80^oC, are dropped into a large lake at 15^oC. The mass of the iron and copper blocks are 50kg and 20kg respectively. After a while the system is in thermal equilibrium due to heat transfer between the blocks and the lake water. What will
be the total entropy change for this process?

(Data : C_iron = 0.45 kJ/kg-^oC, C_copper = 0.386 kJ/kg-^oC)

A vapor power cycle is being considered. Steam enters boiler at 8.4MPa, but unlike ideal boiler, steam leaves it at 8MPa and 500⁰C. Because of losses in the pipeline, steam enters the Turbine at 7.5MPa, 450⁰C. Turbine expands it to 10kPa.

Properties of the steam, at different locations of the cycle is given, in the table.

Efficiency of the cycle is ______%. [Neglect the pump work]

Match List I (Power Cycle) with List II (Efficiency Value) and select the correct answer using the code given below the Lists:

A vapor power cycle is being considered. Steam enters condenser at 10 kPa. There are some losses in the condenser. Steam exits condenser at 8kPa, 30⁰C. This steam is compressed to 8.5MPa with the help of a non-ideal compressor. Efficiency of the compressor is 90%. Steam is flowing at the rate 1kg/s. Property of the steam is provided:

The amount of the power expended at compressor is,

Which type of compressor is commonly used in a gas turbine plant?

A gas turbine power plant operates between temperature limits of 300K and 1300K employing a fuel whose specific heat is 1.012kJ/kg-K. What is the maximum work obtainable per kg of fuel in a cycle?

In a regenerative Brayton Cycle, Air is exiting turbine at temperature 1000K which is cooled down to 900K in the regenerator. Air is leaving pump at 750K but entering combustion chamber at 800K. The entropy gained by surrounding from the regenerator is ______ J/kg-K. [Surrounding at temperature 300K and Cp =1.005 kJ/kg-K]

A Gas turbine power plant is under consideration. Inlet to the pump is at 300K. Pressure ratio is Maximum temperature reached in the cycle is 1500K. Air flow rate is 4 kg/s. The power output of the turbine is _______kW. [Assume γ=1.4 and C_p = 1kJ/kg-K]

Match List I (Statement) with List II (Its Reason)and select the correct answer using the code given below the Lists:

Stream of mass flow rate 0.4Kg/s, relative humidity of 30% and DBT 28 is mixed adiabatically with stream of mass flow rate 0.3kg/s, relative humidity of 40% and DBT 33, mixed air is sensibly cooled to 23.

Take total pressure of 100KPa is assumed to be constant throughout the process, saturation pressure at 28 as 3.783 KPa, Saturation pressure at 33 as 5.03 KPa, Saturation pressure at 23 as 2.81 Kpa.

Find final relative humidity ____________%