Question

A sample of a gas in a balloon has a volume of 2.22 L and temperature of 23.9 °C. Calculate the volume when the temperature is raised to 46.1°C at constant pressure.

Answer 1

Volume = 4.28L

Step-by-step explanation:

Charles's gas law relates the volume and temperature of a gas at constant pressure. This law says that at constant pressures if we raise the temperature of a gas it will expand and if we reduce the temperature the volume will decrease. The formula is as follows:

`{\displaystyle {\frac {V_(1)}{T_(1)}}={\frac {V_(2)}{T_(2)}}}`

So, the initial conditions are 2.22L and 23.9 °C ant the final conditions are 46.1 °C we replace them in the equation. And then we solve it.

`{\displaystyle {\frac {2.22}{23.9}}={\frac {V_(2)}{46.1}}`

`{\displaystyle {\frac {2.22}{23.9}} {46.1}={V_(2)`

`{\displaystyle {4.28}={V_(2)`