Questions: =1 =2 =3 - 4 -5 -6 - 7 - 8 =9 Which of the following statements is consistent with Boyle's Law concerning an ideal gas? At constant temperature and moles, a plot of volume versus pressure is linear. At constant pressure and volume, a plot of temperature versus moles is linear. At constant pressure and moles, a plot of temperature versus volume is linear. At constant temperature and moles, a plot of pressure versus the inverse of volume is linear. At constant temperature and pressure, a plot of moles versus volume is linear.

Solution Steps

Boyle's Law states that for a given amount of an ideal gas at constant temperature, the pressure of the gas is inversely proportional to its volume. Mathematically, it can be expressed as: \[ P \propto \frac{1}{V} \] or \[ PV = \text{constant} \]

We need to determine which statement is consistent with Boyle's Law:

1. At constant temperature and moles, a plot of volume versus pressure is linear.
2. At constant pressure and volume, a plot of temperature versus moles is linear.
3. At constant pressure and moles, a plot of temperature versus volume is linear.
4. At constant temperature and moles, a plot of pressure versus the inverse of volume is linear.
5. At constant temperature and pressure, a plot of moles versus volume is linear.

• Statement 1: This suggests a direct relationship between volume and pressure, which contradicts Boyle's Law.
• Statement 2: This does not relate to Boyle's Law.
• Statement 3: This does not relate to Boyle's Law.
• Statement 4: This suggests that pressure is directly proportional to the inverse of volume, which is consistent with Boyle's Law.
• Statement 5: This does not relate to Boyle's Law.

Final Answer