Ganymede, the largest moon in the solar system, orbits which planet??

How much work is required to compress 5.05 mol of air at 19.5°C and 1.00 atm to one-eleventh of the original volume by an isothe

Rus_ich [418]

Explanation:

(a) For an isothermal process, work done is represented as follows.

W = $-nRT ln(\frac{V_{2}}{V_{1}})$

Putting the given values into the above formula as follows.

W = $-nRT ln(\frac{V_{2}}{V_{1}})$

= $- 5.05 mol \times 8.314 J/mol K \times (19.5 + 273) K \times ln (\frac{\frac{V_{1}}{11}}{V_{1}})$

= $-12280.82 \times ln (0.09)$

= $-12280.82 \times -2.41$

= 29596.78 J

or, = 29.596 kJ (as 1 kJ = 1000 J)

Therefore, the required work is 29.596 kJ.

(b) For an adiabatic process, work done is as follows.

W = $\frac{P_{1}V^{\gamma}_{1}(V^{1-\gamma}_{2} - V(1-\gamma)_{1})}{(1 - \gamma)}$

= $\frac{-nRT_{1}(11^{\gamma - 1} - 1)}{1 - \gamma}$

= $\frac{-5.05 \times 8.314 J/mol K \times 292.5 (11^{1.4 - 1} - 1)}{1 - 1.4}$

= 49.41 kJ

Therefore, work required to produce the same compression in an adiabatic process is 49.41 kJ.

(c) We know that for an isothermal process,

$P_{1}V_{1} = P_{2}V_{2}$

or, $P_{2} = \frac{P_{1}V_{1}}{V_{2}}$

= $1 atm (\frac{V_{1}}{\frac{V_{1}}{11}})$

= 11 atm

Hence, the required pressure is 11 atm.

(d) For adiabatic process,

$P_{1}V^{\gamma}_{1} = P_{2}V^{\gamma}_{2}$

or, $P_{2} = P_{1} (\frac{V_{1}}{V_{2}})^{1.4}$

= $1 atm (\frac{V_{1}}{\frac{V_{1}}{11}})^{1.4}$

= 28.7 atm

Therefore, required pressure is 28.7 atm.

6 0

3 years ago

A particle of mass M moves along a straight line with initial speed vi. A force of magnitude F pushes the particle a distance D

LenaWriter [7]

Answer:

vf = √(vi²+2*(F/m)*D)

Explanation:

Given

Mass of the particle: M

Initial speed of the particle: vi

Force: F

Distance: D

We can apply the formula

F = M*a ⇒ a = F/m

then we use the equation

vf = √(vi²+2*a*D)

⇒ vf = √(vi²+2*(F/m)*D)

6 0

2 years ago

If two waves interact in destructive interference, which of the following will be true regarding the new wave formed?

AlekseyPX

Answer:

b

Explanation:

6 0

2 years ago

Read 2 more answers

What kind of friction exists between solid objects moving in water?

Stels [109]

The best and most correct answer among the choices provided by the question is drag<span>.

</span><span>Drag </span>kind of friction exists between solid objects moving in water.

Hope my answer would be a great help for you.
If you have more questions feel free to ask here at Brainly.

6 0

2 years ago

A person riding on the roof of a freight train throws a ball forward. (a) If we ignore air drag and relative to the ground, is t

mina [271]

Answer:

Explanation:

A ball is thrown in forward direction by a person who is riding on the roof of the moving train.

-->If you neglected the air drag and relative to the ground, then the velocity of the ball is equal to the sum of the velocities of ball and the train.

-->Hence, the ball is moving faster.

-(b) Relative to the freight car, the ball moves at the same speed irrespective of train

4 0

2 years ago