If 500 cm3 of gas, having a pressure of 760 millimeters of mercury, is compressed into a volume of 300 cm3 given the temperature remains constant, the pressure of the gas will be, in millimeters of mercury, approximately:
Correct answer: D. 1,270 mm of Hg
- A. 500 mm of Hg
- B. 900 mm of Hg
- C. 1,100 mm of Hg
- D. 1,270 mm of Hg
- E. 1,500
Explanation
Solution: This problem can be solved by ideal gas equation; PV=nRTSince, the temperature remains constant, therefore: Given: Initial Pressure of gas - 760mm of HgInitial Volume of gas - 560 cm³Final volume of gas - 300 cm³Find - Final pressure of gasSolution - The pressure of gas can be calculated by the help of formula; P1V1 = P2V2. In the equation, P1 and P2 are initial and final pressures and V1 and V2 are initial and final pressures.Keeping the values in equation-760x500 = P2x300P2 = 1266.67 mm of Hg.Hence, the pressure of gas is 1266.67 mm of Hg and the correct option closest to answer is D. 1,270.
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