Answer to Question #66240 in General Chemistry for Chris

Question

Understanding Gas Laws:

A gas, behaving ideally, has a pressure P1 and at a volume V1. The pressure of the gas is changed to P2. Using Avogadro’s, Charles’, or Boyle’s law, develop an expression that would solve for the new volume V2.
A gas, behaving ideally, has a pressure and at a volume . The pressure of the gas is changed to . Using Avogadro’s, Charles’, or Boyle’s law, develop an expression that would solve for the new volume .
A: P1/T1 = P2/T2
B: V1/T1 = V2/T2
C: P1V1 = P2V2
D: P1T1 = P2T2

Answer 1

For this task we use the Boyle’s law. It describes pressure and volume of the ideal gas in closed system with constant temperature and amount of gas the following way:

PV=k, where

P - is the pressure of the gas;
V - is the volume of the gas,;
k - is a constant;

If system changes it’s state from state 1 to state 2, than
P1V1= P2V2 (=k);
and the final expression for the new volume is following:
V2 = P1V1 / P2.

Answer:
C: P1V1 = P2V2

The final expression is:
V2 = P1V1 / P2.