Thermodynamics Question and My Answer

In summary, the conversation discusses a thermodynamics question about a driver inflating his car tires on a cloudy day. The question involves determining whether the tire will burst after a temperature rise. The solution involves converting units and using the ideal gas law to calculate the final pressure, which is found to be 41.54 PSI (Gauge), indicating that the tire will not burst.
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Altairs
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[SOLVED] Thermodynamics Question and My Answer

Homework Statement



During a cloudy day of the summer season, a driver inflates his car tyres (max allowed pressure is 44PSI(Gauge)) to 38PSI(Gauge) at a petrol station. the temperature of the air inside one of the tires is [tex]77^oF[/tex] and volume of the tire is [tex]1ft^3[/tex]. Later, the sun comes out and the air inside the tire experience a temperature rise of [tex]36^oF[/tex]. Assuming the volume to be constant determine whether the tire will burst or not.

Homework Equations



P(Absolute) = P(Ambient) + P (Gauge)
Conversion from F to R
Conversion from PSI to [tex]\frac{lbf}{ft^2}[/tex]

The Attempt at a Solution



First did the relevant conversions.

Then used :-

[tex]P_{1}v = RT_{1}[/tex]

[tex]P_{2}v = RT_{2}[/tex]

Where [tex]R[/tex] = Individual Gas Constant

Where [tex]v[/tex] = Specific Volume

Took the ratios, because the volume remains constant and so does the value of R :-

[tex] \frac{P_{1}}{P_{2}} = \frac{T_{1}}{T_{2}}[/tex]

Made relevant calculations and then did reverse conversions. Got the answer to be 41.54 PSI (Gauge). Which indicates that tire doesn't bursts. Is this the correct answer ?
 
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  • #2
Yes.
 

Related to Thermodynamics Question and My Answer

1. What is thermodynamics?

Thermodynamics is the branch of physics that deals with the relationship between heat and other forms of energy, such as work. It studies how energy is transferred and transformed between different forms, and how these transformations affect the behavior of matter.

2. What are the laws of thermodynamics?

The laws of thermodynamics are a set of fundamental principles that govern the behavior of energy in physical systems. The first law states that energy cannot be created or destroyed, only transformed from one form to another. The second law states that the total entropy of a closed system will always increase over time. The third law states that it is impossible to reach absolute zero temperature through a finite number of steps.

3. How is thermodynamics used in real life?

Thermodynamics has many practical applications in our everyday lives. It is used in the design of engines, refrigeration systems, and power plants. It also plays a role in understanding and predicting weather patterns, as well as the behavior of materials and chemical reactions.

4. What is the difference between heat and temperature in thermodynamics?

Heat and temperature are related, but they are not the same thing. Temperature is a measure of the average kinetic energy of the particles in a substance, while heat is the transfer of energy from one object to another due to a difference in temperature. In thermodynamics, heat is a form of energy, while temperature is a measure of the amount of heat present in a system.

5. How does thermodynamics relate to the laws of conservation of energy and matter?

Thermodynamics is closely tied to the laws of conservation of energy and matter. The first law of thermodynamics is essentially a restatement of the law of conservation of energy, while the second law states that energy can never be fully converted into work. The third law, which deals with the behavior of matter at absolute zero, is related to the law of conservation of matter, which states that matter cannot be created or destroyed.

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