Question

A 3L sample of an ideal gas at 178 K has a pressure of 0.3 atm. Assuming that the volume is constant, what is the approximate pressure of the gas after it is heated to 278 K?

Answer 1

Answer: The approximate pressure of the gas after it is heated to 278 K is 0.468 atm.

Step-by-step explanation:

Given:
`T_(1)` = 178 K,
`P_(1)` = 0.3 atm

`T_(2)` = 278 K,
`P_(2)` = ?

According to Gay Lussac law, at constant volume the pressure of a gas is directly proportional to the temperature.

Formula used to calculate the pressure is as follows.

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

Substitute the values into above formula is as follows.

`(P_(1))/(T_(1)) = (P_(2))/(T_(2))\\(0.3 atm)/(178 K) = (P_(2))/(278 K)\\P_(2) = 0.468 atm`

Thus, we can conclude that the approximate pressure of the gas after it is heated to 278 K is 0.468 atm.