89.5k views
3 votes
2.50 L of a gas at standard temperature and pressure is compressed to 575 mL. What is the new pressure of the gas

User Cangoektas
by
4.3k points

2 Answers

1 vote

Answer:4.35 atm

Step-by-step explanation:

User Patrickmdnet
by
4.3k points
6 votes

Answer:

4.35 atm

Step-by-step explanation:

According to the information given;

  • Initial volume of the gas, V₁ is 2.50 L
  • Initial pressure of the gas is standard pressure P₁, normally 1 atm
  • New volume of the gas, V₂ is 575 mL

We are required to determine the new pressure of the gas, P₂ ;

To answer the question, we are going to use the Boyle's law, that relates pressure and volume at constant temperature.

According to Boyle's law;

P₁V₁ = P₂V₂

Therefore, to determine the new pressure, P₂, we rearrange the formula;

New pressure, P₂ = P₁V₁ ÷ V₂

Thus;

P₂ = ( 1 atm × 2.50 L) ÷ 0.575 L

= 4.3478 atm

= 4.35 atm

Therefore, the new pressure of the gas is 4.35 atm

User Alastair Wilkes
by
4.3k points