Question

A sample of nitrogen gas had a volume of 500. mL, a pressure in its closed container of 740 torr, and a temperature of 25 °C. What was the new volume of the gas when the temperature was changed to 50 °C and the new pressure was 760 torr, if the amount of gas does not change?

Answer 1

The amount of final volume when mass of the system is constant =

0.526 L

Step-by-step explanation:

Given data

`V_(1)` = 500 mL = 0.5 L

`P_(1)` = 740 torr

`T_(1)` = 25 ° c = 298 K

`T_(2)` = 50 ° c = 323 K

`P_(2)` = 760 torr

From ideal gas equation we get

`P_(1) (V_(1) )/(T_(1) ) = P_(2) (V_(2) )/(T_(2) )`

`740 ((0.5)/(298) )= 760 ((V_(2) )/(323) )`

`V_(2) =` 0.526 L = 526 ml

This is the amount of final volume when mass of the system is constant.