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Nat2105 [25]
2 years ago
14

A fixed amount of ideal gas is kept in a container of fixed volume. The absolute pressure P, in pascals, of the gas is plotted a

s a function of its temperature T, in degrees Celsius. Which of the following are properties of a best fit curve to the data? Select two answers.
A) Having a positive slope
B) Passing through the origin
C) Having zero pressure at a certain negative temperature
D) Approaching zero pressure as temperature approaches infinity
Physics
1 answer:
Vesnalui [34]2 years ago
6 0

Answer:

A) Having a positive slope

D) Approaching zero pressure as temperature approaches infinity

Explanation:

A fixed amount of ideal gas is kept in a container of fixed volume. The absolute pressure P, in pascals, of the gas is plotted as a function of its temperature T, in degrees Celsius. Which of the following are properties of a best fit curve to the data? Select two answers.

A) Having a positive slope

B) Passing through the origin

C) Having zero pressure at a certain negative temperature

D) Approaching zero pressure as temperature approaches infinity

solution

from the ideal gas equation

PV=nRT

P=pressure

T=absolute temperature in kelvin

V=volume

R=gas constant 8.314j/molK

n=mole= mass/molecular mass

P=nRT/V

nR/V is the constant

P=nR(Tc+273)/V

plotting the graph we will discover that as pressure increases , temperature also increases . which means it's a positive graph.

Also  Approaching zero pressure as temperature approaches infinity

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(b) -3140.28 N.

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Where v = final velocity, u = initial velocity, s = height of the tower, g = acceleration due to gravity.

Given: s = 9.7 m, u = 0 m/s ( jump from a height), g = 9.81 m/s².

Substitute into equation 1

v² = 0² + 2×9.81×9.7

v² = 190.314

v = √(190.314)

v = 13.795 m/s.

Hence the velocity of the driver when he hits the water = 13.795 m/s.

(b)

F = ma.................... Equation 2

Where F = force exerted on the diver, m = mass of the diver, a = acceleration of the diver below the water surface.

Also using

v² = u² + 2as ............ Equation 3

Note: At the point when the diver enters the water, u = 13.795 m/s, and at the point when the diver comes to a complete stop, v = 0 m/s

Given: s = 2.0 m, u = 13.795 m/s, v = 0 m/s

Substitute into equation 3

0² = 13.795²+2(2a)

0 = 190.30203 + 4a

-4a = 190.30203

a = 190.30203/-4

a = -47.58 m/s²

Also given: m = 66 kg,

Substitute into equation 3

F = (-47.58)(66)

F = -3140.28

Note: The Force is negative because it act against the motion of the diver.

Hence the net force exerted on the diver while in the water = -3140.28 N.

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3 years ago
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