Question

A chemical reaction produced 10.1 cm3 of nitrogen gas at 23 °C and 746 mmHg. What is the volume of this gas if the temperature and pressure are changed to 0 °C and 760 mmHg?

Answer 1

volume of gas = 9.1436cm³

Step-by-step explanation:

We will only temperature from °C to K since the conversion is done by the addition of 273 to the Celsius value.

Its not necessary to convert pressure and volume as their conversions are done by multiplication and upon division using the combined gas equation, the factors used in their conversions will cancel out.

V1 =10.1cm³ , P1 =746mmHg, T1=23°C =23+273=296k

V2 =? , P2 =760mmmHg , T2=0°C = 0+273 =273K

Using the combined gas equation to calculate for V2;

`(V1P1)/(T1)=(V2P2)/(T2) \\ re-arranging, \\V2 =(V1P1T2)/(P2T1)`

`V2 =(10.1*746*273)/(760*296)`

V2=9.1436cm³