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Chapter 3: Q2DQ (page 573)

If you heat the air inside a rigid, sealed container until its Kelvin temperature doubles, the air pressure in the container will also double. Is the same thing true if you double the Celsius temperature of the air in the container? Explain.

Short Answer

Expert verified

If we double the Kelvin scale value, then the Celsius scale values does not double up.

Step by step solution

01

Relation between Kelvin scale and Celsius scale

The relation between Kelvin scale and Celsius scale isTk=Tc+273.

02

Double both the Kelvin and Celsius values

ConsiderTk=100K. The Celsius scale will become

Tc=100-273Tc=-1730C

Now, double the kelvin scale value. We will getTk=200K. The Celsius scale value will be

Tc=200-273Tc=-730C

Clearly,-730Cis not the double of-1730C.

Hence, if we double the Kelvin scale value, then the Celsius scale values does not double up.

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Most popular questions from this chapter

Use the concepts of the kinetic-molecular model to explain: (a) why the pressure of a gas in a rigid container increases as heat is added to the gas and (b) why the pressure of a gas increases as we compress it, even if we do not change its temperature.

When you use a hand pump to inflate the tires of your bicycle, the pump gets warm after a while. Why? What happens to the temperature of the air in the pump as you compress it? Why does this happen? When you raise the pump handle to draw outside air into the pump, what happens to the temperature of the air taken in? Again, why does this happen?

Question: Suppose that a steel hoop could be constructed to fit just around the earth’s equator at 20.0ºC. What would be the thickness of space between the hoop and the earth if the temperature of the hoop were increased by 0.500ºC?

In an adiabatic process for an ideal gas, the pressure decreases. In this process does the internal energy of the gas increase or decrease? Explain.

Question: If the air temperature is the same as the temperature of your skin (about 30°C), your body cannot get rid of heat by transferring it to the air. In that case, it gets rid of the heat by evaporating water (sweat). During bicycling, a typical 70-kg person’s body produces energy at a rate of about 500W due to metabolism, 80% of which is converted to heat. (a) How many kilograms of water must the person’s body evaporate in an hour to get rid of this heat? The heat of vaporization of water at body temperature is 2.42×106J/kg. (b) The evaporated water must, of course, be replenished, or the person will dehydrate. How many 750-mL bottles of water must the bicyclist drink per hour to replenish the lost water? (Recall that the mass of a litre of water is 1.0 kg.

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