Question

c) An air filled balloon has a volume of 125L at 760 mm of mercury and 25°C. What will be its volume wher
pressure is 670 mm of mercury and temperature is 18°C?​

Answer 1

Answer:

138.35 L

Explanation:

Given :

V₁ = 125 L      and   V₂ = ?

P₁ = 760 mm   and  P₂ = 670 mm

T₁ = 25 C or 298 K   and T₂ = 18 C  or  291 K

We have :

$\displaystyle{\dfrac{P_1V_1}{T_1}=\dfrac{P_2V_2}{T_2}}$

Putting value here :

$\displaystyle{\dfrac{125\times760}{298}=\dfrac{670\times V_2}{291}}$

$\displaystyle{V_2=\dfrac{125\times760\times291}{298\times670}}\\\\\\\displaystyle{V_2=\dfrac{125\times76\times291}{298\times67}}\\\\\\\displaystyle{V_2=\dfrac{9,500\times4.34}{298}}\\\\\\\displaystyle{V_2=\dfrac{41,230}{298}}\\\\\\\displaystyle{V_2=138.35 \ L }$

Hence the volume of 138.35 L .