> #gas-laws , #thermodynamics , #physics > If a balloon containing 12.2l of gas at 298k is heatwd so the balloon expands to 17.4l, what is the final temperature if the pressure remaina constant?
Jan 12

If a balloon containing 12.2l of gas at 298k is heatwd so the balloon expands to 17.4l, what is the final temperature if the pressure remaina constant?

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Jan 12
To solve this problem, we can use the ideal gas law equation:

PV = nRT

Where:
P = pressure (constant)
V = volume
n = number of moles of gas (constant)
R = ideal gas constant
T = temperature

Since the pressure remains constant, we can rewrite the equation as:

V1/T1 = V2/T2

Where:
V1 = initial volume
T1 = initial temperature
V2 = final volume
T2 = final temperature

Given:
V1 = 12.2 L
T1 = 298 K
V2 = 17.4 L

We can rearrange the equation to solve for T2:

T2 = (V2 * T1) / V1

Substituting the given values:

T2 = (17.4 L * 298 K) / 12.2 L

T2 ≈ 424.59 K

Therefore, the final temperature is approximately 424.59 K.
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