A sample of a gas (5.0 mol)at 1.0 atm is expanded at constant temperature from 10 L to 15 L.The final pressure is ________ atm.
A)1.5
B)7.5
C)0.67
D)3.3
E)15

Question

Quizplus · Accepted Answer

As per the Boyle's Law, at constant temperature, the pressure and volume of a gas are inversely proportional. Therefore,

P1V1 = P2V2

where, 
P1 = initial pressure = 1.0 atm 
V1 = initial volume = 10 L 
V2 = final volume = 15 L 
n = number of moles = 5.0 mol 
T = temperature (constant)

Solving for P2, we get:

P2 = (P1V1)/V2 = (1.0 atm x 10 L)/15 L = 0.67 atm

Therefore, the final pressure is 0.67 atm, which is option C.

A Sample of a Gas (5