Answered

The initial pressure of a gas is 457 mmHg and the final volume is 750 ml with the final pressure of 650 mmHg. What is the initial volume of the gas? a. 1400 mL b. 1200 mL c. 1100 mL d. 1500 mL



Answer :

Answer:

1067 mL

Explanation:

Considering that the temperature is constant,by Boyles law

P1V1 = P2V2

  • Subscript 1 refers intial
  • Subscript 2 refers final.
  • P1 = 457 mm Hg
  • P2 = 650 mm Hg
  • V1 = ?
  • V2 = 750 mL

Put in ;

457 * V1 = 650*750

Solve for V1

  • V1 = 650*750/457 =1066.73 = 1067 mL

Answer:

Using Boyle's law ( P_1 \cdot V_1 = P_2 \cdot V_2 ), we can find the initial volume ( V_1 ) with the given initial pressure ( P_1 ), final pressure ( P_2 ), and final volume ( V_2 ).

Plugging in the values:

( 457 \cdot V_1 = 650 \cdot 750)

Solving for ( V_1 ):

( V_1 ≈ 1066.07 ) mL

The closest option is c. 1100 mL.