Density offers a convenient means of obtaining the mass of a body from its volume or vice versa; the mass is equal to the volume multiplied by the density (M = Vd), while the volume is equal to the mass divided by the density (V = M/d).
M = V d
M = 1.4 * 2 = 2.8 kg
Answer:
The change in volume is ![6.885\times 10^{- 5}\](https://tex.z-dn.net/?f=6.885%5Ctimes%2010%5E%7B-%205%7D%5C%20)
Solution:
As per the question:
Coefficient of linear expansion of Copper, ![\alpha = 17\times 10^{- 6}\ K^{- 1}](https://tex.z-dn.net/?f=%5Calpha%20%3D%2017%5Ctimes%2010%5E%7B-%206%7D%5C%20K%5E%7B-%201%7D)
Initial Temperature, T =
= 273 K
Final Temperature, T' =
= 273 + 100 = 373 K
Now,
Initial Volume of the block, V = ![30\times 45\times 10\times 10^{- 6}\ m^{3} = 0.0135\ m^{3}](https://tex.z-dn.net/?f=30%5Ctimes%2045%5Ctimes%2010%5Ctimes%2010%5E%7B-%206%7D%5C%20m%5E%7B3%7D%20%3D%200.0135%5C%20m%5E%7B3%7D)
![V' = V(1 + \gamma \Delta T)](https://tex.z-dn.net/?f=V%27%20%3D%20V%281%20%2B%20%5Cgamma%20%5CDelta%20T%29)
![\gamma = 3\alpha](https://tex.z-dn.net/?f=%5Cgamma%20%3D%203%5Calpha%20)
![V' = V(1 + 3\alpha \Delta T)](https://tex.z-dn.net/?f=V%27%20%3D%20V%281%20%2B%203%5Calpha%20%5CDelta%20T%29)
where
V' = Final volume
![V' - V= 0.0135\times 17\times 10^{- 6} \times (T' - T))](https://tex.z-dn.net/?f=V%27%20-%20V%3D%200.0135%5Ctimes%2017%5Ctimes%2010%5E%7B-%206%7D%20%5Ctimes%20%28T%27%20-%20T%29%29)
![\Delta V= 0.0135\times 3\times 17\times 10^{- 6} \times (373 - 273)) = 6.885\times 10^{- 5}\](https://tex.z-dn.net/?f=%5CDelta%20V%3D%200.0135%5Ctimes%203%5Ctimes%2017%5Ctimes%2010%5E%7B-%206%7D%20%5Ctimes%20%28373%20-%20273%29%29%20%3D%206.885%5Ctimes%2010%5E%7B-%205%7D%5C%20)
There would be very less percentage loss<span> of the kinetic energy during </span>the conversion<span> to internal energy, assuming that there is less air in the </span>surroundings<span>. Also, the friction will contribute to the conversion where if it is, the percentage loses is negligible.</span>
This leads to a paradox known as the Gibbs paradox, after Josiah Willard Gibbs. The paradox allows for the entropy of closed systems to decrease, violating the second law of thermodynamics. A related paradox is the "mixing paradox".
Answer:
Final mass=0.89kg
Final pressure=5.6bar
Explanation:
To find mass,m=v/v1
But v1=vf + x(vg-vf)
Vf= 0.001093m^3/kg
Vg= 0.3748m^3/kg
V1= 0.001093+0.5(0.3748-0.001093)
V1= 0.225m^3/kg
M= 0.20/0.225 =0.89kg
Final pressure will be:
V/V1= P/P1
Cross multiply
VP1=V1P
P1= 0.225×5/0.2
P1=:5.6 bar