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A gas in a cylinder with a movable piston has an initial volume of 88.2 mL. If you heat the gas from 35.0° C to 135° C, what is the final volume?

a. 88.2 mL
b. Depends on the gas
c. Calculations needed
d. none

User Roberg
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1 Answer

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Final answer:

When a gas is heated at constant pressure, its volume increases. In this case, the final volume of the gas is 117.6 mL.

Step-by-step explanation:

When a gas is heated at constant pressure, its volume increases if the gas expands. In the given question, the temperature of the gas is increased from 35.0°C to 135°C. Since the gas is being heated at constant pressure, we can assume that the gas will expand and its volume will increase.

To find the final volume, we can use the Gay-Lussac's Law which states that the volume of a gas is directly proportional to its temperature at constant pressure. The equation for Gay-Lussac's Law is V1/T1 = V2/T2, where V1 and T1 are the initial volume and temperature, and V2 and T2 are the final volume and temperature.

Using the given values, we can plug them into the equation to solve for the final volume:

V1 = 88.2 mL, T1 = 35.0°C = 308K, T2 = 135°C = 408K

Plugging in the values, we get: 88.2 mL / 308K = V2 / 408K

Cross multiplying and solving for V2:

V2 = (88.2 mL * 408K) / 308K = 117.6 mL

Therefore, the final volume of the gas is 117.6 mL.

User Lucas Lima
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