Answer:
![Q=15.7Kw](https://tex.z-dn.net/?f=Q%3D15.7Kw)
Explanation:
From the question we are told that:
Initial Pressure ![P_1=4bar](https://tex.z-dn.net/?f=P_1%3D4bar)
Initial Temperature ![T_1=20 C](https://tex.z-dn.net/?f=T_1%3D20%20C)
Final Pressure ![P_2=12 bar](https://tex.z-dn.net/?f=P_2%3D12%20bar)
Final Temperature ![T_2=80C](https://tex.z-dn.net/?f=T_2%3D80C)
Work Output ![W= 60 kJ/kg](https://tex.z-dn.net/?f=W%3D%2060%20kJ%2Fkg)
Generally Specific Energy from table is
At initial state
![P_1=4bar \& T_1=20 C](https://tex.z-dn.net/?f=P_1%3D4bar%20%5C%26%20T_1%3D20%20C)
![E_1=262.96KJ/Kg](https://tex.z-dn.net/?f=E_1%3D262.96KJ%2FKg)
With
Specific Volume ![V'=0.05397m^3/kg](https://tex.z-dn.net/?f=V%27%3D0.05397m%5E3%2Fkg)
At Final state
![P_2=12 bar \& P_2=80C](https://tex.z-dn.net/?f=P_2%3D12%20bar%20%5C%26%20P_2%3D80C)
![E_1=310.24KJ/Kg](https://tex.z-dn.net/?f=E_1%3D310.24KJ%2FKg)
Generally the equation for The Process is mathematically given by
![m_1E_1+w=m_2E_2+Q](https://tex.z-dn.net/?f=m_1E_1%2Bw%3Dm_2E_2%2BQ)
Assuming Mass to be Equal
![m_1=m_1](https://tex.z-dn.net/?f=m_1%3Dm_1)
Where
![m=\frac{V}{V'}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7BV%7D%7BV%27%7D)
![m=frac{0.06666}{V'=0.05397m^3/kg}](https://tex.z-dn.net/?f=m%3Dfrac%7B0.06666%7D%7BV%27%3D0.05397m%5E3%2Fkg%7D)
![m=1.24](https://tex.z-dn.net/?f=m%3D1.24)
Therefore
![1.24*262.96+60)=1.24*310.24+Q](https://tex.z-dn.net/?f=1.24%2A262.96%2B60%29%3D1.24%2A310.24%2BQ)
![Q=15.7Kw](https://tex.z-dn.net/?f=Q%3D15.7Kw)
Answer:
Given that
Mass flow rate ,m=2.3 kg/s
T₁=450 K
P₁=350 KPa
C₁=3 m/s
T₂=300 K
C₂=460 m/s
Cp=1.011 KJ/kg.k
For ideal gas
P V = m R T
P = ρ RT
![\rho_1=\dfrac{P_1}{RT_1}](https://tex.z-dn.net/?f=%5Crho_1%3D%5Cdfrac%7BP_1%7D%7BRT_1%7D)
![\rho_1=\dfrac{350}{0.287\times 450}](https://tex.z-dn.net/?f=%5Crho_1%3D%5Cdfrac%7B350%7D%7B0.287%5Ctimes%20450%7D)
ρ₁=2.71 kg/m³
mass flow rate
m= ρ₁A₁C₁
2.3 = 2.71 x A₁ x 3
A₁=0.28 m²
Now from first law for open system
![h_1+\dfrac{C_1^2}{200}+Q=h_2+\dfrac{C_2^2}{2000}](https://tex.z-dn.net/?f=h_1%2B%5Cdfrac%7BC_1%5E2%7D%7B200%7D%2BQ%3Dh_2%2B%5Cdfrac%7BC_2%5E2%7D%7B2000%7D)
For ideal gas
Δh = CpΔT
by putting the values
![1.011\times 450+\dfrac{3^2}{200}+Q=1.011\times 300+\dfrac{460^2}{2000}](https://tex.z-dn.net/?f=1.011%5Ctimes%20450%2B%5Cdfrac%7B3%5E2%7D%7B200%7D%2BQ%3D1.011%5Ctimes%20300%2B%5Cdfrac%7B460%5E2%7D%7B2000%7D)
![Q=1.011\times 300+\dfrac{460^2}{2000}-\dfrac{3^2}{200}-1.011\times 450](https://tex.z-dn.net/?f=Q%3D1.011%5Ctimes%20300%2B%5Cdfrac%7B460%5E2%7D%7B2000%7D-%5Cdfrac%7B3%5E2%7D%7B200%7D-1.011%5Ctimes%20450)
Q= - 45.49 KJ/kg
Q =- m x 45.49 KW
Q= - 104.67 KW
Negative sign indicates that heat transfer from air to surrounding
Answer:
The correct answer is option 'c':Convection.
Explanation:
When we ignite a campfire the heat produced by combustion heats the air above the fire. As we know that if a gases gains heat it expands thus it's density decreases and hence it rises, if we hold our hands directly above the fire this rising hot air comes in contact with our hands thus warming them.
The situation is different if we are at some distance from the campfire laterally. Since the rising air cannot move laterally the only means the heat of the fire reaches our body is radiation.
But in the given situation the correct answer is convection.
Answer:
No
Explanation:
Heat engines are used for converting the heat into mechanical energy which is used for doing mechanical work.
The efficiency of heat engine is the fraction of mechanical energy to the thermal energy. The efficiency can not be 100% as some of the energy always loss due to friction and motion of the body parts of the heat engine.
Answer:
= -0.303 KW
Explanation:
This is the case of unsteady flow process because properties are changing with time.
From first law of thermodynamics for unsteady flow process
![\dfrac{dU}{dt}=\dot{m_i}h_i+\dot{Q}-\dot{m_e}h_i+\dot{w}](https://tex.z-dn.net/?f=%5Cdfrac%7BdU%7D%7Bdt%7D%3D%5Cdot%7Bm_i%7Dh_i%2B%5Cdot%7BQ%7D-%5Cdot%7Bm_e%7Dh_i%2B%5Cdot%7Bw%7D)
Given that tank is insulated so
and no mass is leaving so
![\int dU=\int \dot{m_i}h_i\ dt-\int \dot{w}\ dt](https://tex.z-dn.net/?f=%5Cint%20dU%3D%5Cint%20%5Cdot%7Bm_i%7Dh_i%5C%20dt-%5Cint%20%5Cdot%7Bw%7D%5C%20dt)
Mass conservation ![m_2-m_1=m_e-m_i](https://tex.z-dn.net/?f=m_2-m_1%3Dm_e-m_i)
is the initial and final mass in the system respectively.
Initially tank is evacuated so ![m_1=0](https://tex.z-dn.net/?f=m_1%3D0)
We know that for air
,![P_2v_2=m_2RT_2](https://tex.z-dn.net/?f=P_2v_2%3Dm_2RT_2)
![m_2=0.42 kg](https://tex.z-dn.net/?f=m_2%3D0.42%20kg)
So now putting values
![0.42 \times 0.71 \times 730=0.42\times 1.005\times 300- \dot{w} \times 300](https://tex.z-dn.net/?f=0.42%20%5Ctimes%200.71%20%5Ctimes%20730%3D0.42%5Ctimes%201.005%5Ctimes%20300-%20%5Cdot%7Bw%7D%20%5Ctimes%20300)
= -0.303 KW