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vaieri [72.5K]
3 years ago
6

A balloon with a volume of 2.0 L at 25°C is placed in a hot room at 35°C. The pressure on the balloon is constant at 1.0 atm. Ho

w does the volume of the balloon change after moving it to the hot room? ✔ It increases. What is the final volume of the balloon after it has been placed in the hot room?
Chemistry
1 answer:
7nadin3 [17]3 years ago
4 0

Answer:

The volume increases,

Final volume is 2.1L

Explanation:

Based on Boyle's law, the absolute temperature of a gas is directly proportional to the volume of the gas.

As the balloon change increases its temperature, the volume increases

The Boyle's equation is:

V1T2 = V2T1

<em>Where V is volume and T is absolute temperature of 1, initial state and 2, final state of the gas.</em>

<em />

Replacing:

V1 = 2.0L

T2 = 35°C + 273.15 = 308.15K

V2 = ?

T1 = 25°C + 273.15 = 298.15K

2.0L*308.15K = V2*298.15K

2.1L = V2

<h3>Final volume is 2.1L</h3>

<em />

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The volume (in liters) that the gas will occupy if the pressure is increased to 13.5 atm and the temperature is decreased to 15 °C is 15 L

From the question given above, the following data were obtained:

Initial pressure (P₁) = 8.5 atm

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\frac{P_{1}V_{1}}{T_{1}} = \frac{P_{2}V_{2}}{T_{2}}\\\\\frac{8.5 * 24}{298}  = \frac{13.5 * V_{2}}{288}\\\\ \frac{204}{298} = \frac{13.5 * V_{2}}{288}\\\\

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298 × 13.5 × V₂ = 204 × 288

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Divide both side by 4023

V_{2} = \frac{58752}{4023}\\\\

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