Answer:
- The work made by the gas is 7475.69 joules
- The heat absorbed is 7475.69 joules
Explanation:
<h3>
Work</h3>
We know that the differential work made by the gas its defined as:

We can solve this by integration:

but, first, we need to find the dependence of Pressure with Volume. For this, we can use the ideal gas law


This give us

As n, R and T are constants

![\Delta W= \ n \ R \ T \left [ ln (V) \right ]^{v_2}_{v_1}](https://tex.z-dn.net/?f=%20%5CDelta%20W%3D%20%5C%20n%20%5C%20R%20%5C%20T%20%20%5Cleft%20%5B%20ln%20%28V%29%20%5Cright%20%5D%5E%7Bv_2%7D_%7Bv_1%7D%20)



But the volume is:



Now, lets use the value from the problem.
The temperature its:

The ideal gas constant:

So:


<h3>Heat</h3>
We know that, for an ideal gas, the energy is:

where
its the internal energy of the gas. As the temperature its constant, we know that the gas must have the energy is constant.
By the first law of thermodynamics, we know

where
is the Work made by the gas (please, be careful with this sign convention, its not always the same.)
So:


Answer:
180° C
Explanation:
First we start by finding the area of the stopper.
A = πd²/4, where d = 1.5 cm = 0.015 m
A = 3.142 * 0.015² * ¼
A = 1.767*10^-4 m²
Next we find the force on the stopper
F = (P - P•)A, where
F = 10 N
P = pressure inside the tube,
P• = 1 atm
10 = (P - 101325) * 1.767*10^-4
P - 101325 = 10/1.767*10^-4
P - 101325 = 56593
P = 56593 + 101325
P = 157918 Pascal
Now, remember, in an ideal gas,
P1V1/T1 = P2V2/T2, where V is constant, then we have
P1/T1 = P2/T2, and when we substitute the values, we have
101325/(273 + 18) = 157918/ T2
101325/291 = 157918/ T2
T2 = (157918 * 291)/101325
T2 = 453 K
T2 = 453 - 273 = 180° C
Answer:
D). Uranus.
Explanation:
Jovian planets are described as the planets which are giant balls of gases and located farthest from the sun which primarily include Jupiter, Saturn, Uranus, and Neptune.
As per the question, 'Uranus' is the jovian planet that would have the most extreme seasonal changes as its tilted axis leads each season to last for about 1/4 part of its 84 years orbit. The strong tilted axis encourages extreme changes in the season on Uranus. Thus, <u>option D</u> is the correct answer.
Answer:
v = 14.32 m/s
Explanation:
According to the principle of conservation of linear momentum, both the momentum and kinetic energy of the system are conserved. Since the two balls are in the same direction of motion before collision, then;
+
= (
+
) v
0.035 × 12 + 0.120 × 15 = (0.035 + 0.120) v
0.420 + 1.800 = (0.155) v
2.22 = 0.155 v
⇒ v = 
= 14.323
The velocity of the balls after collision is 14.32 m/s.
Answer:
The total work done will be zero.
Explanation:
Given that,
Mass = 100 kg
Force = 392 N
Velocity = 20 m/s
Distance s= 10 m
We need to calculate the work done
Using balance equation
The net force will be



The net force is zero.
Hence, The total work done will be zero by all forces on the object.