College

An engine cylinder contains 275 ml of gas at a pressure of 1.50 atm. As the engine runs, it compresses the cylinder and reduces the volume of the gas to 23 ml. What is the new pressure of the gas at this volume?

A. 374 atm
B. 17.9 atm
C. 99.3 atm
D. 1.39 atm

Answer :

The new pressure of the gas at a volume of 23 mL is 17.9 atm

What is Ideal gas law?

The fundamental equation in physics and chemistry, known as the ideal gas law, is crucial in describing the behavior of an ideal gas. This theoretical gas consists of numerous small particles that are constantly moving randomly without any interaction except for perfectly elastic collisions. The ideal gas law establishes a relationship between pressure, volume, temperature, and the number of particles present in an ideal gas. The equation is expressed as PV = nRT.

Equation:

According to the ideal gas law, the pressure (P), volume (V), and number of moles (n) of a gas are related by the equation:

PV = nRT

where R is the gas constant and T is the absolute temperature of the gas. Assuming that the number of moles of gas and the temperature remain constant during the compression process, we can write:

P1V1 = P2V2

Substituting the given values, we get:

P2 = P1V1/V2 = (1.50 atm)(275 mL)/(23 mL) = 17.9 atm

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