A fixed mass of gas occupies a volume of 20\(cm^3\) at a fixed pressure of 700mmHg. Assuming that the temperature remains constant, what will be the volume ...

A fixed mass of gas occupies a volume of 20\(cm^3\) at a fixed pressure of 700mmHg. Assuming that the temperature remains constant, what will be the volume of the gas at 750mmHg?

Answer Details

The relationship between pressure and volume of a fixed mass of gas at a constant temperature is described by Boyle's law which states that the product of pressure and volume of a fixed mass of gas is constant as long as the temperature remains constant. That is: P1V1 = P2V2 Where P1 and V1 are the initial pressure and volume of the gas, respectively, and P2 and V2 are the final pressure and volume of the gas, respectively. Using the values given in the question, we have: P1 = 700mmHg, V1 = 20cm³, P2 = 750mmHg, and V2 = ? Substituting these values into the equation, we get: 700mmHg x 20cm³ = 750mmHg x V2 Solving for V2 gives: V2 = (700mmHg x 20cm³)/750mmHg V2 = 18.7cm³ Therefore, the volume of the gas at 750mmHg is 18.7cm³. So, the answer is 18.7\(cm^3\).