Question

Question #52ade

Answer 1

The final volume of nitrogen gas will be `"528 mL"`.

Explanation:

Use the combined gas law with the equation `(P_1V_1)/(T_1)=(P_2V_2)/(T_2)`.

Given/Known
`P_1="740 torr"`
`V_1="500. mL"`
`T_1="25"^"o""C"+273.15="298 K"`
`P_2="760 torr"`
`T_2="50"^"o""C"+273.15="323 K"`

Unknown
`V_2`

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

Solution
Rearrange the equation to isolate `V_2` and solve.

`V_2=(P_1V_1T_2)/(T_1P_2)`

`V_2=(740cancel"torr"xx500. "mL"xx323cancel"K")/(298cancel"K"xx760cancel"torr")="528 mL N"_2"`