hard piston pushing question

[Smooth Operater]

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in a cylinder containing nitrogen, which is insoluble in water, there is a small amount of water at 25 Celsius. At this temperature water has a vapor pressure of 24 mm of Hg. The total pressure inside the cylinder is found to be 600 mm of Hg. If a piston were pused into the cylinder reducing the volume to one half, the partial pressure of gas would rise to:

a. 2 atm
b. 1200 mm Hg
c. 1176 mm Hg
d. 48 mm Hg
e. 24 mm Hg

The correct answer is C and I am not sure how to get the answer. Can you plz show me? THANKS!

 

[Smooth Operater]

bump

 

[nickatina]

so another one by logic... if you cut the volume in half the pressure will double. the water wont compress because it is liquid so take 1200-24. you can do this because we are told that nitrogen isn't soluble in water. thats just my explanation given the answer and the question. you might want to verify my reasoning