Question

please solve this neumerical​

Answer 1

Given :

• Temperature is constant
• Initial volume ( V₁ ) = 74 cm³
• Initial pressure ( P₁ ) = 760 mm
• Final pressure ( P₂ ) = 740 mm

To find :

Final Volume ( V₂ )

Solution :

According to Boyle's law , at constant temperature pressure of gas is inversely proportional to volume of gas

P ∝ (1/V)

This gives,

$\sf \dfrac{P_1}{P_2} = \dfrac{V_2}{V_1}$

Now putting values of pressure and volume we get,

$\sf \implies \: \dfrac{760 \: mm}{740 \: mm} = \dfrac{V_2}{74 \: {cm}^{3} }$

$\sf \implies \:V_2 \: = \: \dfrac{760 \: mm}{740 \: mm} \times 74 \: {cm}^{3}$

$\sf \implies \:V_2 \: = \: \dfrac{74 \: }{740 \: } \times 760 \: {cm}^{3}$

$\sf \implies \:V_2 \: = \: \dfrac{1\: }{10\: } \times 760 \: {cm}^{3}$

$\sf \implies \:V_2 \: = \: \dfrac{760 \: }{10 \: } \: {cm}^{3}$

$\sf \implies \:V_2 \: = \: \bold{76 {cm}^{3} }$

ANSWER :

Final volume = 76 cm³