Question

A cylinder with a movable piston is filled at 25°C with a gas that occupies a volume of 30.5 cm^3. If the maximum capacity of the cylinder is 45.8 cm^3, what is the highest temperature to which the cylinder can be heated at constant pressure without
having the piston come out?
(1) 50°C
(2) 147.5°C (3) 174.5°C (4 120°C


plz give @N$W€R

Answer 1

Answer: $174.5^0C$

Explanation:

Charles' Law: This law states that volume is directly proportional to the temperature of the gas at constant pressure and number of moles.

$V\propto T$     (At constant pressure and number of moles)

${\frac{V_1}{T_1}=\frac{V_2}{T_2}$

where,

$V_1$ = initial volume of gas  = $30.5cm^3$

$V_2$ = final volume of gas  = $45.8cm^3$

$T_1$ = initial temperature of gas  = $25^0C=(25+273)K=298K$

$T_2$ = final temperature of gas  = ?

Putting in the values we get:

${\frac{30.5}{298}=\frac{45.8}{T_2}$

$T_2=447.5K=(447.5-273)^0C=174.5^0C$

Thus  the highest temperature to which the cylinder can be heated at constant pressure without  having the piston come out is $174.5^0C$