Question

An ideal gas sample is confined to 3.0 L and kept at 27°C. If the temperature is raised to 77°C and the initial pressure was 1500 mmHg, what is the final pressure?

Answer 1

`P= 1750 \ mmHg`

Explanation:

Use the combined gas law equation:

`(P_1xxV_1)/T_1=(P_2xxV_2)/T_2`

The gas is confined in 3.0 L container ( rigid container) `=>` the volume remains constant when the temperature is increased from from `27^oC` to `77^oC` and therefore `\ V_1= V_2`.

`(P_1xxcancel(V_1))/T_1=(P_2xxcancel(V_2))/T_2`

`(P_2)/T_2=P_1/ T_1`

`P_2= P_1 xxT_2/T_1`

`P_2= 1500 \ mmHg xx( 350 \ K)/(300 \ K)`

`P_2= 1750 \ mmHg`