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Q. 22

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 511

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Short Answer

A gas at fills volume . If the pressure is held constant, what is the volume if

(a) the Celsius temperature is doubled and

(b) the Kelvin temperature is doubled?

(a) The volume if the Celsius temperature is doubled is

(b)The volume if the Kelvin temperature is doubled is

See the step by step solution

Step by Step Solution

Step 1 : Defining Ideal Gas law

The ideal gas law shows the relationship of the four state variables for an ideal gas, namely the volume of the container, the pressure exerted by the gas, temperature of the gas, and the number of moles of the gas in the container.

The ideal gas law is given by

If the pressure is constant for the same gas, we get the relation for two points of time by

Step 2 : Finding the volume if the Celsius temperature is doubled 

(a) Here . The initial temperature in Celsius is . This temperature is doubled and is .
We convert these two temperature values to kelvins and substitute these values into the equation to get

Now we obtain the value of when the Celsius temperature is doubled

Step 2 : Finding the volume if the Kelvin temperature is doubled 

(b) The initial temperature in Kelvin is . This value is doubled and is
Now we obtain the value of if the Kelvin temperature is doubled

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