Determine which law is appropriate for solving the following problem.

What volume will 1.56 liters of a gas at 27°C and 745 mmHg of pressure occupy at 100°C and 700 mmHg of pressure?

Law used:
Boyle's Law
Charles' Law
Combined Gas Law

You have P, V, and T in the same problem. Boyle's Law is P and V.

Charles' Law is V and T.

The appropriate law for solving this problem is the Combined Gas Law.

To determine which law is appropriate for solving the given problem, we need to analyze the information provided and consider the relationships between the variables involved.

The problem mentions the initial volume, temperature, and pressure (1.56 liters, 27°C, and 745 mmHg, respectively) and asks for the final volume at a different temperature and pressure (100°C and 700 mmHg).

Boyle's Law relates the volume and pressure of a gas at constant temperature. It states that for a given amount of gas at a constant temperature, the volume is inversely proportional to the pressure. In other words, as pressure increases, volume decreases and vice versa. Boyle's Law can be represented by the equation: P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.

Charles' Law relates the volume and temperature of a gas at constant pressure. It states that for a given amount of gas at a constant pressure, the volume is directly proportional to the temperature in Kelvin (K). In other words, as temperature increases, volume increases and vice versa. Charles' Law can be represented by the equation: V1 / T1 = V2 / T2, where V1 and T1 are the initial volume and temperature, and V2 and T2 are the final volume and temperature.

The Combined Gas Law combines Boyle's Law and Charles' Law, and it is used when both the pressure and temperature change. The Combined Gas Law can be represented by the equation: (P1 x V1) / T1 = (P2 x V2) / T2, where P1, V1, T1 are the initial pressure, volume, and temperature, and P2, V2, T2 are the final pressure, volume, and temperature.

In the given problem, we have changes in both temperature and pressure, so the appropriate law to use is the Combined Gas Law.

Therefore, the law to solve the problem is the Combined Gas Law.