Question

A 475 cm3 sample of gas at standard temperature and pressure is allowed to expand until it occupies a
volume of 600. cm3. What temperature would be needed to return the gas to standard pressure?

Answer 1

The final temperature : 345 K

Further explanation

Given

475 cm³ initial volume

600 cm³ final volume

Required

The final temperature

Solution

At standard temperature and pressure , T = 273 K and 1 atm

Charles's Law  :

When the gas pressure is kept constant, the gas volume is proportional to the temperature  

$\tt \dfrac{V_1}{T_1}=\dfrac{V_2}{T_2}$

Input the value :

T₂=(V₂T₁)/V₁

T₂=(600 x 273)/475

T₂=345 K