Answer :
Final answer:
c). is correct. The question uses Boyle's law in physics, which is used to find the relationship between the pressure and volume of a gas. With the given initial conditions of the volume and pressure of helium gas, the new volume when the pressure will be 700 mmHg is calculated to be approximately 95.5 ml.
Explanation:
This question involves the application of Boyle's law in gas laws, which states that the pressure of a given amount of gas held at constant temperature is inversely proportional to the volume. In the given problem, the volume of helium was initially 90 ml with a pressure of 740 mmHg. We want to find the volume where the pressure would be 700 mmHg.
According to Boyle's law, P1V1 = P2V2, where P1 is the initial pressure, V1 is the initial volume, P2 is the final pressure and V2 is the final volume. We can plug in the given values and solve for V2: (740 mmHg * 90 ml) / 700 mmHg = V2. This results to approximately 95.1428571 ml when rounded off, it's 95.5 ml, which corresponds to option (c) 95.5 ml.
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