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?

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.