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The volume of an ideal gas is to be reduced by half by
Chapter 2, Problem 34P(choose chapter or problem)
Problem 34P
The volume of an ideal gas is to be reduced by half by compressing it isothermally. Determine the required change in pressure.
Questions & Answers
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.