In: Physics

A cylinder with a movable piston contains 3 moles of hydrogen at standard temperature and pressure. The walls of the cylinder are made of a heat insulator, and the piston is insulated by having a pile of sand on it. By what factor does the pressure of the gas increase if the gas is compressed to half its original volume?

The cylinder is completely insulated from its surroundings.

Therefore, no heat is exchanged between the system (cylinder) and its surroundings.

Thus, the process is adiabatic

Initial pressure inside the cylinder = P1

Final pressure inside the cylinder = P2

Initial volume inside the cylinder = V1

Final volume inside the cylinder = V2

Ratio of specific heat, Y = Cp / Cv = 1.4

For an adiabatic process, we have:

P1V1Y = P2V2Y

The final volume is compressed to half of its initial volume

Hence,

V2 = V1 / 2

P1V1Y = P2(V1 / 2)Y

P2 / P1 = V1Y / (V1 / 2)Y

= 21.4

We get,

= 2.639

Therefore, the pressure increases by a factor of 2.639

The pressure **increases** by a **factor of 2.639.**

What does the top pressure gauge in the figure read?

we have to solve this question using gas laws.

we have to solve this question using gas laws.

The piston in the cylinder head of a locomotive has a stroke (twice the amplitude) of 1.0 m. If the piston moves with simple harmonic motion with an angular frequency of 200 rad/min, what is its maximum speed?

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Definition of wellness and statement of its dimensions with explanations.

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Definition of wellness and statement of its dimensions with explanations.

A particle with charge 3.20×1019 C is placed on the x-axis in a region where the electric potential due to other charges increases in the +x direction but does not change in the y or z-direction.Part A:The particle, initially at rest, is acted upon only by the electric force and moves from point a to point b along the x-axis, increasing its kinetic energy by 1.60×1019J. In what direction and through what potential difference Vb-Va does the particle move?a. The...