Answer:
The spring is compressed by 0.275 meters.
Explanation:
For equilibrium of the gas and the piston the pressure exerted by the gas on the piston should be equal to the sum of weight of the piston and the force the spring exerts on the piston
Mathematically we can write
![Force_{pressure}=Force_{spring}+Weight_{piston}](https://tex.z-dn.net/?f=Force_%7Bpressure%7D%3DForce_%7Bspring%7D%2BWeight_%7Bpiston%7D)
we know that
![Force_{pressure}=Pressure\times Area=300\times 10^{3}\times \frac{\pi \times 0.1^2}{4}=750\pi Newtons](https://tex.z-dn.net/?f=Force_%7Bpressure%7D%3DPressure%5Ctimes%20Area%3D300%5Ctimes%2010%5E%7B3%7D%5Ctimes%20%5Cfrac%7B%5Cpi%20%5Ctimes%200.1%5E2%7D%7B4%7D%3D750%5Cpi%20Newtons)
![Weight_{piston}=mass\times g=100\times 9.81=981Newtons](https://tex.z-dn.net/?f=Weight_%7Bpiston%7D%3Dmass%5Ctimes%20g%3D100%5Ctimes%209.81%3D981Newtons)
Now the force exerted by an spring compressed by a distance 'x' is given by ![Force_{spring}=k\cdot x=5\times 10^{3}\times x](https://tex.z-dn.net/?f=Force_%7Bspring%7D%3Dk%5Ccdot%20x%3D5%5Ctimes%2010%5E%7B3%7D%5Ctimes%20x)
Using the above quatities in the above relation we get
![5\times 10^{3}\times x+981=750\pi \\\\\therefore x=\frac{750\pi -981}{5\times 10^{3}}=0.275meters](https://tex.z-dn.net/?f=5%5Ctimes%2010%5E%7B3%7D%5Ctimes%20x%2B981%3D750%5Cpi%20%5C%5C%5C%5C%5Ctherefore%20x%3D%5Cfrac%7B750%5Cpi%20-981%7D%7B5%5Ctimes%2010%5E%7B3%7D%7D%3D0.275meters)
Answer:
Q=67.95 W
T=119.83°C
Explanation:
Given that
For air
Cp = 1.005 kJ/kg·°C
T= 20°C
V=0.6 m³/s
P= 95 KPa
We know that for air
P V = m' R T
95 x 0.6 = m x 0.287 x 293
m=0.677 kg/s
For gas
Cp = 1.10 kJ/kg·°C
m'=0.95 kg/s
Ti=160°C ,To= 95°C
Heat loose by gas = Heat gain by air
[m Cp ΔT] for air =[m Cp ΔT] for gas
by putting the values
0.677 x 1.005 ( T - 20)= 0.95 x 1.1 x ( 160 -95 )
T=119.83°C
T is the exit temperature of the air.
Heat transfer
Q=[m Cp ΔT] for gas
Q=0.95 x 1.1 x ( 160 -95 )
Q=67.95 W
Answer:
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Explanation:
Answer:
A = true.
Explanation:
The statement made in the Question or problem above is TRUE/correct. The term known as " catch basin" is an important and essential part of the drainage system that is should be built in a community(whether housing community, industrial community or commercial community).
The catch basin is very important because it helps in making sure that they act as sieve to get all the dirt such as leaves from water running on the surface(runoffs).