POSSIBLE POINT An engine cylinder contains 250.0 mL of gas at a pressure of 1.00 atm. As the engine runs, it compresses the cylinder,

Question

POSSIBLE POINT
An engine cylinder contains 250.0 mL of gas at a pressure of 1.00 atm. As the engine runs, it compresses the cylinder, reducing the volume of the
25.0 mL. What is the new pressure of the gas at this volume?

minhkhue · Answer

Answer: The new pressure of the gas at this volume is 10 atm.    Explanation:    Given:  V_{1} = 250 mL,        P_{1} = 1.00 atm  V_{2} = 25.0 mL,          P_{2} = ?   According to Boyle's law, at constant temperature the pressure of an ideal gas is inversely proportional to volume.   Therefore, formula used is as follows.  P_{1}V_{1} = P_{2}V_{2}   Substitute the values into above formula as follows.     P_{1}V_{1} = P_{2}V_{2}  1.00 atm  times 250.0 mL = P_{2}  times 25.0 mL  P_{2} = 10 atm  Thus, we can conclude that  the new pressure of the gas at this volume is 10 atm.

Leave a Comment Cancel reply