Thermo Questions: Final Pressure & Cooling Time

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To find the final pressure of a gas that increases in temperature from 40 C to 120 C and volume from 1 m³ to 1.3 m³, the ideal gas law may be applicable, but the user is unsure if they have the correct equations. For the cooling time of a steel block from 20.0 C to 0 C, the user is using a heat transfer equation but questions whether they have sufficient information or if the equation is appropriate. Clarification on the relationship between pressure, volume, and temperature is sought for the gas problem. Additionally, guidance on the cooling process and the relevant thermal conductivity factors is requested. The discussion emphasizes the need for accurate application of thermodynamic principles.
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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
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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