Thermo Questions: Final Pressure & Cooling Time

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SUMMARY

The discussion focuses on two thermodynamic problems: calculating the final pressure of a gas and estimating the cooling time of a steel block. For the first problem, the ideal gas law should be applied to determine the final pressure after the gas expands from 1 m³ to 1.3 m³ while increasing in temperature from 40°C to 120°C. The second problem involves using Fourier's law of heat conduction, represented by the equation H = dQ/dt = kA(TH - TC/L), to estimate the cooling time of a 0.1 m³ steel block cooling from 20.0°C to 0°C.

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  • Understanding of the Ideal Gas Law
  • Familiarity with Fourier's Law of Heat Conduction
  • Basic knowledge of thermodynamic properties
  • Ability to perform unit conversions and calculations
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  • Learn about Fourier's Law and its implications in heat transfer
  • Explore thermal conductivity values for different materials
  • Investigate methods for calculating cooling rates in various geometries
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Students in thermodynamics, engineers working with heat transfer, and anyone involved in thermal management of materials will benefit from this discussion.

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Homework Statement


1.A gas increases in temperature from 40 C to 120 C while increasing in volume from 1 m3 to 1:3 m3. Find the
nal pressure, if the initial pressure is atmospheric pressure.

2.Estimate the length of time it takes for a 0.1 m x 0.1 m x 0.1 m block of steel to cool from 20.0 C to 0 C,
assuming that it loses thermal energy by conduction through all six faces.

Homework Equations


Q1
ΔV = b V0 Δ T
but this equation does not give me the pressure and I have no idea whether any other equation relates the info I got with pressure
Q2
H =
dQ
dt
= kA(TH - TC/L)
Is it I don't have enough info or is the equation I am using wrong?
 
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anyone can help me please I just need to know whether I am using the right equations.

Thank you
 

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