Solved: A balloon with an initial volume of 3.2 L at a temperature of 299 K is warmed to

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Given :

Initial volume of balloon = 3.2 L

Initial Temperature = 299 K

Final Temperature = 376 K.

Final volume at 376 K = ?

Charles’s law states that ‘At a fixed pressure, the volume of a gas is directly proportional to the kelvin temperature of the gas.’

Mathematically it can be represented as :

\(\vee \alpha \mathrm{T} \quad \text { Or } \quad \frac{V}{T}=\mathrm{k}\)

where:

V = volume of the gas,

T =  temperature of the gas (measured in kelvins),

k = constant.

\(\frac{P_{i} V_{i}}{T_{i}}=\frac{P_{f} V_{f}}{T_{f}}\)