Question

297.85

Question 2
4 pts
If a sample of gas occupies 23.5 mL at 315 K and 14.8 atm of pressure, what volume will it occupy at 415 K and
12.3 atm?
Give your volume in ml, but do not include the units in the answer. Do not use scientific notation.
Question 3
4 pts

Answer 1

37.25

Step-by-step explanation:

`P_1` = Initial pressure =
`14.8\ \text{atm}`

`P_2` = Final pressure =
`12.3\ \text{atm}`

`V_1` = Initial volume =
`23.5\ \text{mL}`

`V_2` = Final volume

`T_1` = Initial temperature =
`315\ \text{K}`

`T_2` = Final temperature =
`415\ \text{K}`

From ideal gas law we have

`PV=nRT`

`\Rightarrow PV\propto (1)/(T)`

So

`(P_1V_1)/(T_1)=(P_2V_2)/(T_2)\\\Rightarrow V_2=(P_1V_1T_2)/(T_1P_2)\\\Rightarrow V_2=(14.8* 23.5* 415)/(315* 12.3)\\\Rightarrow V_2=37.25\ \text{mL}`

The final volume is
`37.25\ \text{mL}`