Question

Question #39aec

Answer 1

`T_2=?K`

Explanation:

This can be solved using the combined gas law where `eta` is constant; thus, the formula

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

Identify the given and the unknown data and the solving process to find the required variable as follows: ( Note: Temperature must be expressed in K)

`Given:`
`V_1=2.9L`
`P_1=5.0 atm`
`T_1=50^oC+273=323K`
`V_2=2.4L`
`P_2=3.0 atm`

,`Required:`
`T_2=?`

`Solution:`
Start with the formula. Rearrange it as needed to isolate the required variable and plug in data as identified earlier; that is,
`(P_1V_1)/(T_1)=(P_2V_2)/(T_2)`
`T_2=(T_1P_2V_2)/(P_1V_1)`
`T_2=?K`

Note: Do not forget to attach the unit of each variable; cancel as needed to get the desired unit which is K.