Question

The pressure of a piston with a volume of 650 cm3 and 85ºC is 830 mmHg. It is heated to 350ºC and compressed to a volume of 65 cm3. What is the new pressure?

Answer 1

34176.5 torr

Step-by-step explanation:

It is given that :

Initial pressure,
`$P_1 = 830$` torr

Initial volume,
`$V_1 = 650 \ cm^3$`

Initial temperature,
`$T_1 = 85^\circ C$`

Final volume,
`$V_2 = 65 \ cm^3$`

Final temperature,
`$T_2 = 350^\circ C$`

Therefore, using the combined gas laws, we can write :

`$(P_1V_1)/(T_1)=(P_2V_2)/(T_2)$`

Substituting the values, we get

`$(830 * 650)/(85)=(P_2* 65)/(350)$`

`$P_2 = (830 * 650 * 350)/(85 * 65)$`

= 34176.5 torr

So the new pressure is 34176.5 torr.