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Mama L [17]
3 years ago
6

The pressure of a gas remains constant while the temperature, volume, and internal energy of the gas increase by 57.7 Co, 1.24 x

10⁻³ m³, and 843 J, respectively. The mass of the gas is 21.6 g, and its specific heat capacity (at constant pressure) is 1080 J/(kg Co). Determine the pressure.
Physics
1 answer:
valina [46]3 years ago
8 0

Answer:

P = 405.67 kPa

Explanation:

given,

change in temperature = 57.7 °C

volume of the gas = 1.24 x 10⁻³ m³

Internal energy of the = 843 J

Cp = 1080 J/Kg.C°

mass = 21.6 g

heat capacity

Q = m Cp ΔT

Q = 0.0216 x  1080 x 57.7

Q = 1346.025 J

according to first law of thermodynamics

U = Q + W

W = Q - ΔU

PΔV = Q - ΔU

PΔV = 1346.025 - 843

P x  1.24 x 10⁻³  = 503.0256

P = 405.67 x 10³ Pa

P = 405.67 kPa

The pressure of the gas is equal to P = 405.67 kPa

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Most of the energy will be absorbed by the materials that make up the cars, causing them to deform. The energy will also be converted into sound energy, causing a loud bang upon collision. Also, some energy will be converted to thermal energy, which will cause the cars to heat up slightly.
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3 years ago
Problem #2: An apple is thrown upward with an initial velocity of +24.0 m/s. a. Sketch the apple's trip and label what you know.
bogdanovich [222]

Answer:

The answer is below

Explanation:

a) The initial velocity (u) = 24 m/s

We can solve this problem using the formula:

v² = u² - 2gh

where v = final velocity, g= acceleration due to gravity = 9.8 m/s², h = height.

At maximum height, the final velocity = 0 m/s

v² = u² - 2gh

0² = 24² - 2(9.8)h

2(9.8)h = 24²

2(9.8)h = 576

19.6h = 576

h = 29.4 m

b) The time taken to reach the maximum height is given as:

v = u - gt

0 = 24 - 9.8t

9.8t = 24

t = 2.45 s

The total time needed for the apple to return to its original position = 2t = 2 * 2.45 = 4.9 s

4 0
3 years ago
The average specific heat of the human body is 3.6 kJ/kg·°C. If the body temperature of a(n) 96-kg man rises from 37°C to 39°C d
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Answer:

691200 J

Explanation:

From specific heat capacity,

ΔQ = cmΔt.................. Equation 1

Where ΔQ = increase in thermal energy, c = specific heat capacity of the body, m = mass of the man, Δt = rise in temperature.

Given: c = 3.6 kJ/kg.°C = 3600 J/kg.°C, m = 96 kg, Δt = 39-37 = 2 °C.

Substitute into equation 1

ΔQ = 3600×96×2

ΔQ = 691200 J.

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2) The displacement is the net movement, or the difference between the initial position and the final position

Call x the initial position, then the final position is x + [60km - 45km]

And the displacement is x + (60km - 45km) - x =60km -45 km = 15 km

Explanation:

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Answer:

Q = 114895 J

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Hf: heat of fusion of water = 3.34*10^5 J/kg

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where you have considered that ice melts completely

3 0
3 years ago
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