Answer to Question #170110 in General Chemistry for jacob

Question

A sample of argon has a volume of 4.2 L and the pressure is 1.1 atm. If the final temperature is 31° C, the final volume is 8 L, and the final pressure is 9 atm, what was the initial temperature of the argon in Kelvin?

Answer 1

Let, V1= 4.2 L

P1= 1.1 atm

T1= x K

V2= 8 L

P2= 9 atm

T2= (31+273) K

= 304 K

According to the equation of state of ideal gas,

P1V1/T1 = P2V2/T2

Or, T1 = (P1V1/P2V2)×T2

= [(1.1 × 4.2)/(9 × 8)] × 304

= 19.51 K

Hence, the initial temperature of the system = 19.51 K