Thermodynamics Question 272
Question: A 500 ml sealed cylinder contains nitrogen at a pressure of 1 atm. A tiny glass tube lies at the bottom of the cylinder. Its volume is 0.50 ml and it contains hydrogen at a pressure of 4.5 atm. The glass tube is broken so that hydrogen also fills the cylinder. The new pressure in the cylinder is $ (1atm=1\times 105N/m^{2}) $
Options:
A) 76.34 cm Hg
B) 82.40 cm Hg
C) 94.24 cm Hg
D) 104.34 cm Hg
Show Answer
Answer:
Correct Answer: A
Solution:
[a] For tiny glass tube, $ P _{1}V _{1}=P _{2}V _{2} $
$ \therefore P _{2}=\frac{P _{1}V _{1}}{V _{2}}=\frac{4.5\times 0.50}{500}=0.0045atm. $
Thus $ P=\text{1}atm+0.0045atm $
$ =1.0045atm=76.34\text{ cm of }Hg. $
