Thermodynamics Question 222

Question: The volume of an ideal gas is 1 litre and its pressure is equal to 72cm of mercury column. The volume of gas is made 900 cm3 by compressing it isothermally. The stress of the gas will be

[UPSEAT 1999]

Options:

A) 8 cm (mercury)

B) 7 cm (mercury)

C) 6 cm (mercury)

D) 4 cm (mercury)

Show Answer

Answer:

Correct Answer: A

Solution:

For isothermal process $ P _{1}V _{1}=P _{2}V _{2} $

Therefore

$ P _{2}=\frac{P _{1}V _{1}}{V _{2}}=\frac{72\times 1000}{900} $ =80 cm

Stress $ \Delta P=P _{2}-P _{1}=80-72=8cm $



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