Question

The volume of a sample of gas is 200L at 740 mmHg. What would its volume be if the pressure of the sample was at standard pressure?

a) 273.15 L
b) 213.40 L
c) 218.50 L
d) 300.00 L

Answer 1

Using Boyle's Law, the final volume of the gas at standard pressure (760 mmHg) would be 194.74 L. Since this calculated value does not match any of the answer choices, it's important to verify the calculations and the answer options provided.

Step-by-step explanation:

The volume of the gas at standard pressure can be calculated using Boyle's Law, which states that the pressure and volume of a gas have an inverse relationship when temperature and the amount of gas are held constant. Standard pressure is defined as 1 atm, which is equal to 760 mmHg. Using the initial conditions provided, 200 L at 740 mmHg, we can set up the equation as follows:

V1 * P1 = V2 * P2

Where:

• V1 = initial volume = 200 L
• P1 = initial pressure = 740 mmHg
• V2 = final volume at standard pressure
• P2 = standard pressure = 760 mmHg

Plugging in the values and solving for V2 gives us:

V2 = (V1 * P1) / P2

V2 = (200 L * 740 mmHg) / 760 mmHg

V2 = 194.74 L

Since 194.74 L is not one of the options provided, let's double-check our calculations and make sure the answer options are correct. If this was the result of a miscalculation, we would need to repeat the computation with accurate values.