A quantity of gas exerts a pressure of 2.4 atm when its volume is 4.0L at 40⁰C. Calculate the pressure exerted by the same gas if the temperature is raised to 50⁰C while the volume is reduced to 1.5L.

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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PROBLEM SOLVING. Choose 4 numbers only. Write the given data, the unknown, the formula and the complete solution.

1. A quantity of gas exerts a pressure of 2.4 atm when its volume is 4.0L at 40⁰C. Calculate the pressure exerted by the same gas if the temperature is raised to 50⁰C while the volume is reduced to 1.5L.

2. A steel bridge is built in several segments, each 20m long. One end of each segment is fixed and cannot expand while the other end is free. The gap between the segments is 4.0 cm at 18⁰C. What is the maximum temperature that the bridge can manage before buckling? The coefficient of linear expansion of steel (α) = 12 x 10-6 /⁰C.

3. Find the rate of heat transfer through a 2.0-m long steel rod if one end of which is placed in an 800K fire. The cross-sectional area of the rod is 1.5 cm2 and the cool end is at 315K. The thermal conductivity of the steel rod is 16.5 J/s-m-K.

4. A 2-kg copper bar is cooled to 60⁰C. If the copper gave off 50 kJ of energy, what was the initial temperature of the copper? The specific heat of copper is 0.385 J/g-⁰C.

5. In your own words explain the following Laws of Thermodynamics:

a. Zeroth Law

b. First Law of Thermodynamics

c. Second Law of Thermodynamics

d. Third Law of Thermodynamics

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