Solve Heat Problem: Estimate Altitude, Rate of Heat Transfer

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SUMMARY

The discussion focuses on solving a physics problem involving heat transfer and altitude estimation. The scientist measures steam temperature at 98°C, leading to a calculated barometric height of 0.70 meters and an altitude of 8009 meters using the pressure formula. For part 'c', participants explore the heat transfer rate from a camping stove to 2 liters of water, applying the formula Q = mcΔT. The challenge lies in determining the initial temperature of the water before heating.

PREREQUISITES
  • Understanding of thermodynamics, specifically heat transfer principles.
  • Familiarity with the ideal gas law and barometric pressure calculations.
  • Knowledge of specific heat capacity and its application in thermal calculations.
  • Basic algebra and unit conversion skills for physics problems.
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  • Learn about the specific heat capacity of water and its implications in heat transfer calculations.
  • Study the ideal gas law and its application in altitude estimation problems.
  • Explore the concept of thermal equilibrium and how it affects temperature measurements.
  • Investigate the relationship between pressure, density, and height in fluid mechanics.
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Students in physics or engineering courses, educators teaching thermodynamics, and anyone interested in practical applications of heat transfer and altitude estimation.

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Homework Statement

A scientist carries a thermometer, barometer, pan and gas camping stove up a mountain. At a certain point he collects water from a stream, boils it and measures the temperature of the steam condensing on the thermometer to be 98°C. What is the height of the column of mercury (density = 13560 kg m–3) in the barometer?

b) Estimate the altitude of the scientist relative to sea level, assuming the density of air to be 1.186 kg m¬–3.

c)The scientist notices that it takes about 3 minutes to bring about 2 litres of water just to the boiling temperature. Assuming the thermal capacity of the water dominates (i.e. ignoring the thermal capacity of the pan), estimate the rate of heat transfer delivered by the camping stove to the pan of water.
I need help with part 'c', I have done parts 'a' and 'b'.

pressure at T = 98C is 0.093182MPa

a) \frac{p}{\rho g} = h = \frac{93182 pa}{9.81 \times 13560}

= 0.70 m

Usinf the same equation to get altitude, and the pressure in part a

b) \frac{p}{\rho g} = h = \frac{93182}{1.186 \times 9.81} = 8009m

How do I do part 'c'

Q = mcT?
I can work out the mass from the information given, m = \rho V = 0.002 \times 1000 = 2kg

However how do I get initial temperate?

Thank you.
 
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would the final temperature be 98C? So what is the intial temerature?
 

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