Question

A balloon is filled with a gas at 111 kPa when the temperature was 22*C. If the temperature

Answer 1

119.7kPa

Explanation:

Given parameters:

Pressure of gas in balloon = 111kPa

Temperature of gas = 22°C

Final temperature = 45°C

Unknown:

Final pressure = ?

Solution:

Since the gases in the balloon have the same number of moles. We can apply a derivative of the combined gas law to solve this problem.

At constant volume the pressure of a given mass of gas varies directly with the absolute temperature.

           $\frac{P1}{T1} = \frac{P2}{T2}$

P1 is the initial pressure

P2 is the final pressure

T1 is the initial temperature

T2 is the final temperature

 convert from celcius to kelvin:

       tK = 273 + tC

   T1 = 273 + 22 = 295K

   T2 = 273 + 45 = 318K

      $\frac{111}{295} = \frac{P2}{318}$

  P2 = 119.7kPa

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