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The volume of an ideal gas is to be reduced by half by

Chapter 2, Problem 34P

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QUESTION:

Problem 34P

The volume of an ideal gas is to be reduced by half by compressing it isothermally. Determine the required change in pressure.

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QUESTION:

Problem 34P

The volume of an ideal gas is to be reduced by half by compressing it isothermally. Determine the required change in pressure.

ANSWER:

Solution

Step 1 of 4

In case of ideal gas, the interaction between the atoms or molecules inside the gas are negligible and the atom or molecule is considered to be a hard sphere, whose size is very small and negligible compared to the total volume of the gas. Such gases obeys the gas laws; Charles's law and Boyle’s law exactly at all temperatures and pressures. Such kind of gases are known as ideal gas.

The state of the ideal gas can be determined by the ideal gas equation,

Given by

                                                        PV=nRT

Solving for T,

                                                        …………..1

Where P, V and T are the pressure , volume and temperature of the gas respectively, R is the universal gas constant and n is the number of moles of gas.

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