The volume holding 0.63 mole of an ideal gas is compressed to 1/4 of its original volume by a piston.At the same time the pressure of the gas triples.If the original absolute temperature of the gas was T,that is the new temperature after compression?
A)4/3T
B)3/4T
C)0.63(3/4T)
D)0.63(4/3T)

Question

Quizplus · Accepted Answer

From the ideal gas law, PV = nRT, we can see that if the pressure (P) triples and the volume (V) is compressed to 1/4 of its original value while the amount of gas (n) remains constant, the temperature (T) must also increase by a factor of 3/4. 
Therefore, the new absolute temperature of the gas can be calculated as:
T' = (3/4)T
Since we want the new temperature in terms of the original absolute temperature and the number of moles of gas, we can express the number of moles as:
n = 0.63 mole
Substituting this into the equation for the new temperature, we get:
T' = (3/4)T = (3/4)(4/3)nRT = 0.63(3/4T)
Therefore, the answer is choice B.

The Volume Holding 0